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Simplifying 3[4 + -1(-2x + -5)] = 48x + 132 Reorder the terms: 3[4 + -1(-5 + -2x)] = 48x + 132 3[4 + (-5 * -1 + -2x * -1)] = 48x + 132 3[4 + (5 + 2x)] = 48x + 132 Combine like terms: 4 + 5 = 9 3[9 + 2x] = 48x + 132 [9 * 3 + 2x * 3] = 48x + 132 [27 + 6x] = 48x + 132 Reorder the terms: 27 + 6x = 132 + 48x Solving 27 + 6x = 132 + 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. 27 + 6x + -48x = 132 + 48x + -48x Combine like terms: 6x + -48x = -42x 27 + -42x = 132 + 48x + -48x Combine like terms: 48x + -48x = 0 27 + -42x = 132 + 0 27 + -42x = 132 Add '-27' to each side of the equation. 27 + -27 + -42x = 132 + -27 Combine like terms: 27 + -27 = 0 0 + -42x = 132 + -27 -42x = 132 + -27 Combine like terms: 132 + -27 = 105 -42x = 105 Divide each side by '-42'. x = -2.5 Simplifying x = -2.5
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