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Simplifying 14 + -1(x + -15) = 3 + -1(2x + 1) Reorder the terms: 14 + -1(-15 + x) = 3 + -1(2x + 1) 14 + (-15 * -1 + x * -1) = 3 + -1(2x + 1) 14 + (15 + -1x) = 3 + -1(2x + 1) Combine like terms: 14 + 15 = 29 29 + -1x = 3 + -1(2x + 1) Reorder the terms: 29 + -1x = 3 + -1(1 + 2x) 29 + -1x = 3 + (1 * -1 + 2x * -1) 29 + -1x = 3 + (-1 + -2x) Combine like terms: 3 + -1 = 2 29 + -1x = 2 + -2x Solving 29 + -1x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 29 + -1x + 2x = 2 + -2x + 2x Combine like terms: -1x + 2x = 1x 29 + 1x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 29 + 1x = 2 + 0 29 + 1x = 2 Add '-29' to each side of the equation. 29 + -29 + 1x = 2 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = 2 + -29 1x = 2 + -29 Combine like terms: 2 + -29 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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