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Simplifying 8[2 + -1(2x + -5)] = 2(8 + -3x) Reorder the terms: 8[2 + -1(-5 + 2x)] = 2(8 + -3x) 8[2 + (-5 * -1 + 2x * -1)] = 2(8 + -3x) 8[2 + (5 + -2x)] = 2(8 + -3x) Combine like terms: 2 + 5 = 7 8[7 + -2x] = 2(8 + -3x) [7 * 8 + -2x * 8] = 2(8 + -3x) [56 + -16x] = 2(8 + -3x) 56 + -16x = (8 * 2 + -3x * 2) 56 + -16x = (16 + -6x) Solving 56 + -16x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 56 + -16x + 6x = 16 + -6x + 6x Combine like terms: -16x + 6x = -10x 56 + -10x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 56 + -10x = 16 + 0 56 + -10x = 16 Add '-56' to each side of the equation. 56 + -56 + -10x = 16 + -56 Combine like terms: 56 + -56 = 0 0 + -10x = 16 + -56 -10x = 16 + -56 Combine like terms: 16 + -56 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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