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Simplifying -2(x + -3) + 14 = 10 + -1(x + 1) Reorder the terms: -2(-3 + x) + 14 = 10 + -1(x + 1) (-3 * -2 + x * -2) + 14 = 10 + -1(x + 1) (6 + -2x) + 14 = 10 + -1(x + 1) Reorder the terms: 6 + 14 + -2x = 10 + -1(x + 1) Combine like terms: 6 + 14 = 20 20 + -2x = 10 + -1(x + 1) Reorder the terms: 20 + -2x = 10 + -1(1 + x) 20 + -2x = 10 + (1 * -1 + x * -1) 20 + -2x = 10 + (-1 + -1x) Combine like terms: 10 + -1 = 9 20 + -2x = 9 + -1x Solving 20 + -2x = 9 + -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. 20 + -2x + x = 9 + -1x + x Combine like terms: -2x + x = -1x 20 + -1x = 9 + -1x + x Combine like terms: -1x + x = 0 20 + -1x = 9 + 0 20 + -1x = 9 Add '-20' to each side of the equation. 20 + -20 + -1x = 9 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 9 + -20 -1x = 9 + -20 Combine like terms: 9 + -20 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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