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Simplifying 9 + -1(x + -9) = 3(x + 47) Reorder the terms: 9 + -1(-9 + x) = 3(x + 47) 9 + (-9 * -1 + x * -1) = 3(x + 47) 9 + (9 + -1x) = 3(x + 47) Combine like terms: 9 + 9 = 18 18 + -1x = 3(x + 47) Reorder the terms: 18 + -1x = 3(47 + x) 18 + -1x = (47 * 3 + x * 3) 18 + -1x = (141 + 3x) Solving 18 + -1x = 141 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + -1x + -3x = 141 + 3x + -3x Combine like terms: -1x + -3x = -4x 18 + -4x = 141 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -4x = 141 + 0 18 + -4x = 141 Add '-18' to each side of the equation. 18 + -18 + -4x = 141 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 141 + -18 -4x = 141 + -18 Combine like terms: 141 + -18 = 123 -4x = 123 Divide each side by '-4'. x = -30.75 Simplifying x = -30.75
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