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Simplifying 4[9 + -1(-3x + -9)] = 48x + 180 Reorder the terms: 4[9 + -1(-9 + -3x)] = 48x + 180 4[9 + (-9 * -1 + -3x * -1)] = 48x + 180 4[9 + (9 + 3x)] = 48x + 180 Combine like terms: 9 + 9 = 18 4[18 + 3x] = 48x + 180 [18 * 4 + 3x * 4] = 48x + 180 [72 + 12x] = 48x + 180 Reorder the terms: 72 + 12x = 180 + 48x Solving 72 + 12x = 180 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 72 + 12x + -48x = 180 + 48x + -48x Combine like terms: 12x + -48x = -36x 72 + -36x = 180 + 48x + -48x Combine like terms: 48x + -48x = 0 72 + -36x = 180 + 0 72 + -36x = 180 Add '-72' to each side of the equation. 72 + -72 + -36x = 180 + -72 Combine like terms: 72 + -72 = 0 0 + -36x = 180 + -72 -36x = 180 + -72 Combine like terms: 180 + -72 = 108 -36x = 108 Divide each side by '-36'. x = -3 Simplifying x = -3
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