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