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Simplifying -1(1x + -4) + 8 = 3x + -2(1x + -1) Reorder the terms: -1(-4 + 1x) + 8 = 3x + -2(1x + -1) (-4 * -1 + 1x * -1) + 8 = 3x + -2(1x + -1) (4 + -1x) + 8 = 3x + -2(1x + -1) Reorder the terms: 4 + 8 + -1x = 3x + -2(1x + -1) Combine like terms: 4 + 8 = 12 12 + -1x = 3x + -2(1x + -1) Reorder the terms: 12 + -1x = 3x + -2(-1 + 1x) 12 + -1x = 3x + (-1 * -2 + 1x * -2) 12 + -1x = 3x + (2 + -2x) Reorder the terms: 12 + -1x = 2 + 3x + -2x Combine like terms: 3x + -2x = 1x 12 + -1x = 2 + 1x Solving 12 + -1x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -1x + -1x = 2 + 1x + -1x Combine like terms: -1x + -1x = -2x 12 + -2x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + -2x = 2 + 0 12 + -2x = 2 Add '-12' to each side of the equation. 12 + -12 + -2x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 2 + -12 -2x = 2 + -12 Combine like terms: 2 + -12 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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