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