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Simplifying 4(2 + -1(2x + -5)) = 2(12 + -3x) Reorder the terms: 4(2 + -1(-5 + 2x)) = 2(12 + -3x) 4(2 + (-5 * -1 + 2x * -1)) = 2(12 + -3x) 4(2 + (5 + -2x)) = 2(12 + -3x) Combine like terms: 2 + 5 = 7 4(7 + -2x) = 2(12 + -3x) (7 * 4 + -2x * 4) = 2(12 + -3x) (28 + -8x) = 2(12 + -3x) 28 + -8x = (12 * 2 + -3x * 2) 28 + -8x = (24 + -6x) Solving 28 + -8x = 24 + -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 = 24 + -6x + 6x Combine like terms: -8x + 6x = -2x 28 + -2x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 28 + -2x = 24 + 0 28 + -2x = 24 Add '-28' to each side of the equation. 28 + -28 + -2x = 24 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 24 + -28 -2x = 24 + -28 Combine like terms: 24 + -28 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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