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Simplifying -9(1x + -9) = 3(1x + 47) Reorder the terms: -9(-9 + 1x) = 3(1x + 47) (-9 * -9 + 1x * -9) = 3(1x + 47) (81 + -9x) = 3(1x + 47) Reorder the terms: 81 + -9x = 3(47 + 1x) 81 + -9x = (47 * 3 + 1x * 3) 81 + -9x = (141 + 3x) Solving 81 + -9x = 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. 81 + -9x + -3x = 141 + 3x + -3x Combine like terms: -9x + -3x = -12x 81 + -12x = 141 + 3x + -3x Combine like terms: 3x + -3x = 0 81 + -12x = 141 + 0 81 + -12x = 141 Add '-81' to each side of the equation. 81 + -81 + -12x = 141 + -81 Combine like terms: 81 + -81 = 0 0 + -12x = 141 + -81 -12x = 141 + -81 Combine like terms: 141 + -81 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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