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Simplifying 3(4 + -1x) + -1x = 8 + -1(5x + 2) (4 * 3 + -1x * 3) + -1x = 8 + -1(5x + 2) (12 + -3x) + -1x = 8 + -1(5x + 2) Combine like terms: -3x + -1x = -4x 12 + -4x = 8 + -1(5x + 2) Reorder the terms: 12 + -4x = 8 + -1(2 + 5x) 12 + -4x = 8 + (2 * -1 + 5x * -1) 12 + -4x = 8 + (-2 + -5x) Combine like terms: 8 + -2 = 6 12 + -4x = 6 + -5x Solving 12 + -4x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -4x + 5x = 6 + -5x + 5x Combine like terms: -4x + 5x = 1x 12 + 1x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 1x = 6 + 0 12 + 1x = 6 Add '-12' to each side of the equation. 12 + -12 + 1x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 6 + -12 1x = 6 + -12 Combine like terms: 6 + -12 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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