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Simplifying 3(4 + -1x) + -5x = 2(x + 1) (4 * 3 + -1x * 3) + -5x = 2(x + 1) (12 + -3x) + -5x = 2(x + 1) Combine like terms: -3x + -5x = -8x 12 + -8x = 2(x + 1) Reorder the terms: 12 + -8x = 2(1 + x) 12 + -8x = (1 * 2 + x * 2) 12 + -8x = (2 + 2x) Solving 12 + -8x = 2 + 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. 12 + -8x + -2x = 2 + 2x + -2x Combine like terms: -8x + -2x = -10x 12 + -10x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -10x = 2 + 0 12 + -10x = 2 Add '-12' to each side of the equation. 12 + -12 + -10x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 2 + -12 -10x = 2 + -12 Combine like terms: 2 + -12 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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