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Simplifying -3(x + 1) + 2(1 + -1x) = 7x + 8 Reorder the terms: -3(1 + x) + 2(1 + -1x) = 7x + 8 (1 * -3 + x * -3) + 2(1 + -1x) = 7x + 8 (-3 + -3x) + 2(1 + -1x) = 7x + 8 -3 + -3x + (1 * 2 + -1x * 2) = 7x + 8 -3 + -3x + (2 + -2x) = 7x + 8 Reorder the terms: -3 + 2 + -3x + -2x = 7x + 8 Combine like terms: -3 + 2 = -1 -1 + -3x + -2x = 7x + 8 Combine like terms: -3x + -2x = -5x -1 + -5x = 7x + 8 Reorder the terms: -1 + -5x = 8 + 7x Solving -1 + -5x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + -5x + -7x = 8 + 7x + -7x Combine like terms: -5x + -7x = -12x -1 + -12x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -12x = 8 + 0 -1 + -12x = 8 Add '1' to each side of the equation. -1 + 1 + -12x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = 8 + 1 -12x = 8 + 1 Combine like terms: 8 + 1 = 9 -12x = 9 Divide each side by '-12'. x = -0.75 Simplifying x = -0.75
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