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Simplifying -47(x + -37) = x + 32 Reorder the terms: -47(-37 + x) = x + 32 (-37 * -47 + x * -47) = x + 32 (1739 + -47x) = x + 32 Reorder the terms: 1739 + -47x = 32 + x Solving 1739 + -47x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1739 + -47x + -1x = 32 + x + -1x Combine like terms: -47x + -1x = -48x 1739 + -48x = 32 + x + -1x Combine like terms: x + -1x = 0 1739 + -48x = 32 + 0 1739 + -48x = 32 Add '-1739' to each side of the equation. 1739 + -1739 + -48x = 32 + -1739 Combine like terms: 1739 + -1739 = 0 0 + -48x = 32 + -1739 -48x = 32 + -1739 Combine like terms: 32 + -1739 = -1707 -48x = -1707 Divide each side by '-48'. x = 35.5625 Simplifying x = 35.5625
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