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Simplifying 2(1 + -1x) + 5 = 3(1 + x) + -8 (1 * 2 + -1x * 2) + 5 = 3(1 + x) + -8 (2 + -2x) + 5 = 3(1 + x) + -8 Reorder the terms: 2 + 5 + -2x = 3(1 + x) + -8 Combine like terms: 2 + 5 = 7 7 + -2x = 3(1 + x) + -8 7 + -2x = (1 * 3 + x * 3) + -8 7 + -2x = (3 + 3x) + -8 Reorder the terms: 7 + -2x = 3 + -8 + 3x Combine like terms: 3 + -8 = -5 7 + -2x = -5 + 3x Solving 7 + -2x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + -2x + -3x = -5 + 3x + -3x Combine like terms: -2x + -3x = -5x 7 + -5x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -5x = -5 + 0 7 + -5x = -5 Add '-7' to each side of the equation. 7 + -7 + -5x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -5 + -7 -5x = -5 + -7 Combine like terms: -5 + -7 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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