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Simplifying 15x + -1(13x + -10) = x + -14 Reorder the terms: 15x + -1(-10 + 13x) = x + -14 15x + (-10 * -1 + 13x * -1) = x + -14 15x + (10 + -13x) = x + -14 Reorder the terms: 10 + 15x + -13x = x + -14 Combine like terms: 15x + -13x = 2x 10 + 2x = x + -14 Reorder the terms: 10 + 2x = -14 + x Solving 10 + 2x = -14 + 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. 10 + 2x + -1x = -14 + x + -1x Combine like terms: 2x + -1x = 1x 10 + 1x = -14 + x + -1x Combine like terms: x + -1x = 0 10 + 1x = -14 + 0 10 + 1x = -14 Add '-10' to each side of the equation. 10 + -10 + 1x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -14 + -10 1x = -14 + -10 Combine like terms: -14 + -10 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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