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Simplifying -1(3x + -1) + 4x + 2 = 18 + -2(x + 7) + 5x Reorder the terms: -1(-1 + 3x) + 4x + 2 = 18 + -2(x + 7) + 5x (-1 * -1 + 3x * -1) + 4x + 2 = 18 + -2(x + 7) + 5x (1 + -3x) + 4x + 2 = 18 + -2(x + 7) + 5x Reorder the terms: 1 + 2 + -3x + 4x = 18 + -2(x + 7) + 5x Combine like terms: 1 + 2 = 3 3 + -3x + 4x = 18 + -2(x + 7) + 5x Combine like terms: -3x + 4x = 1x 3 + 1x = 18 + -2(x + 7) + 5x Reorder the terms: 3 + 1x = 18 + -2(7 + x) + 5x 3 + 1x = 18 + (7 * -2 + x * -2) + 5x 3 + 1x = 18 + (-14 + -2x) + 5x Combine like terms: 18 + -14 = 4 3 + 1x = 4 + -2x + 5x Combine like terms: -2x + 5x = 3x 3 + 1x = 4 + 3x Solving 3 + 1x = 4 + 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. 3 + 1x + -3x = 4 + 3x + -3x Combine like terms: 1x + -3x = -2x 3 + -2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -2x = 4 + 0 3 + -2x = 4 Add '-3' to each side of the equation. 3 + -3 + -2x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 4 + -3 -2x = 4 + -3 Combine like terms: 4 + -3 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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