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Simplifying 4[2 + -1(2x + -5)] = 2(8 + -3x) Reorder the terms: 4[2 + -1(-5 + 2x)] = 2(8 + -3x) 4[2 + (-5 * -1 + 2x * -1)] = 2(8 + -3x) 4[2 + (5 + -2x)] = 2(8 + -3x) Combine like terms: 2 + 5 = 7 4[7 + -2x] = 2(8 + -3x) [7 * 4 + -2x * 4] = 2(8 + -3x) [28 + -8x] = 2(8 + -3x) 28 + -8x = (8 * 2 + -3x * 2) 28 + -8x = (16 + -6x) Solving 28 + -8x = 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. 28 + -8x + 6x = 16 + -6x + 6x Combine like terms: -8x + 6x = -2x 28 + -2x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 28 + -2x = 16 + 0 28 + -2x = 16 Add '-28' to each side of the equation. 28 + -28 + -2x = 16 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 16 + -28 -2x = 16 + -28 Combine like terms: 16 + -28 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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