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Simplifying 3(x + 4) + 5(x + -2) = (x + -1) + 2 Reorder the terms: 3(4 + x) + 5(x + -2) = (x + -1) + 2 (4 * 3 + x * 3) + 5(x + -2) = (x + -1) + 2 (12 + 3x) + 5(x + -2) = (x + -1) + 2 Reorder the terms: 12 + 3x + 5(-2 + x) = (x + -1) + 2 12 + 3x + (-2 * 5 + x * 5) = (x + -1) + 2 12 + 3x + (-10 + 5x) = (x + -1) + 2 Reorder the terms: 12 + -10 + 3x + 5x = (x + -1) + 2 Combine like terms: 12 + -10 = 2 2 + 3x + 5x = (x + -1) + 2 Combine like terms: 3x + 5x = 8x 2 + 8x = (x + -1) + 2 Reorder the terms: 2 + 8x = (-1 + x) + 2 Remove parenthesis around (-1 + x) 2 + 8x = -1 + x + 2 Reorder the terms: 2 + 8x = -1 + 2 + x Combine like terms: -1 + 2 = 1 2 + 8x = 1 + x Solving 2 + 8x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 8x + -1x = 1 + x + -1x Combine like terms: 8x + -1x = 7x 2 + 7x = 1 + x + -1x Combine like terms: x + -1x = 0 2 + 7x = 1 + 0 2 + 7x = 1 Add '-2' to each side of the equation. 2 + -2 + 7x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 1 + -2 7x = 1 + -2 Combine like terms: 1 + -2 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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