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Simplifying 3(-1x + 1) + 2 = 2(2x + -4) + -1 Reorder the terms: 3(1 + -1x) + 2 = 2(2x + -4) + -1 (1 * 3 + -1x * 3) + 2 = 2(2x + -4) + -1 (3 + -3x) + 2 = 2(2x + -4) + -1 Reorder the terms: 3 + 2 + -3x = 2(2x + -4) + -1 Combine like terms: 3 + 2 = 5 5 + -3x = 2(2x + -4) + -1 Reorder the terms: 5 + -3x = 2(-4 + 2x) + -1 5 + -3x = (-4 * 2 + 2x * 2) + -1 5 + -3x = (-8 + 4x) + -1 Reorder the terms: 5 + -3x = -8 + -1 + 4x Combine like terms: -8 + -1 = -9 5 + -3x = -9 + 4x Solving 5 + -3x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -3x + -4x = -9 + 4x + -4x Combine like terms: -3x + -4x = -7x 5 + -7x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -7x = -9 + 0 5 + -7x = -9 Add '-5' to each side of the equation. 5 + -5 + -7x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -9 + -5 -7x = -9 + -5 Combine like terms: -9 + -5 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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