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Simplifying 3[5 + -1(-2x + -4)] = 48x + 111 Reorder the terms: 3[5 + -1(-4 + -2x)] = 48x + 111 3[5 + (-4 * -1 + -2x * -1)] = 48x + 111 3[5 + (4 + 2x)] = 48x + 111 Combine like terms: 5 + 4 = 9 3[9 + 2x] = 48x + 111 [9 * 3 + 2x * 3] = 48x + 111 [27 + 6x] = 48x + 111 Reorder the terms: 27 + 6x = 111 + 48x Solving 27 + 6x = 111 + 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 = 111 + 48x + -48x Combine like terms: 6x + -48x = -42x 27 + -42x = 111 + 48x + -48x Combine like terms: 48x + -48x = 0 27 + -42x = 111 + 0 27 + -42x = 111 Add '-27' to each side of the equation. 27 + -27 + -42x = 111 + -27 Combine like terms: 27 + -27 = 0 0 + -42x = 111 + -27 -42x = 111 + -27 Combine like terms: 111 + -27 = 84 -42x = 84 Divide each side by '-42'. x = -2 Simplifying x = -2
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