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Simplifying 5(x + 1) + 10 = -1(x + -1) + 5x Reorder the terms: 5(1 + x) + 10 = -1(x + -1) + 5x (1 * 5 + x * 5) + 10 = -1(x + -1) + 5x (5 + 5x) + 10 = -1(x + -1) + 5x Reorder the terms: 5 + 10 + 5x = -1(x + -1) + 5x Combine like terms: 5 + 10 = 15 15 + 5x = -1(x + -1) + 5x Reorder the terms: 15 + 5x = -1(-1 + x) + 5x 15 + 5x = (-1 * -1 + x * -1) + 5x 15 + 5x = (1 + -1x) + 5x Combine like terms: -1x + 5x = 4x 15 + 5x = 1 + 4x Solving 15 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 15 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 1x = 1 + 0 15 + 1x = 1 Add '-15' to each side of the equation. 15 + -15 + 1x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 1 + -15 1x = 1 + -15 Combine like terms: 1 + -15 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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