To solve the equation \(-6.29(x + 7.85) = -19.499\), follow these steps:
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Distribute \(-6.29\) on the left side: \[ -6.29x - 6.29 \times 7.85 = -19.499 \]
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Calculate \(-6.29 \times 7.85\): \[ -6.29 \times 7.85 \approx -49.3955 \] So the equation becomes: \[ -6.29x - 49.3955 = -19.499 \]
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Add \(49.3955\) to both sides to isolate the term with \(x\): \[ -6.29x = -19.499 + 49.3955 \] \[ -6.29x = 29.8965 \]
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Divide both sides by \(-6.29\): \[ x = \frac{29.8965}{-6.29} \] \[ x \approx -4.76 \]
Therefore, the solution is: \[ x \approx -4.76 \]
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