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Simplifying x + -1(14 + 2x) = 13 + 2x + -3 x + (14 * -1 + 2x * -1) = 13 + 2x + -3 x + (-14 + -2x) = 13 + 2x + -3 Reorder the terms: -14 + x + -2x = 13 + 2x + -3 Combine like terms: x + -2x = -1x -14 + -1x = 13 + 2x + -3 Reorder the terms: -14 + -1x = 13 + -3 + 2x Combine like terms: 13 + -3 = 10 -14 + -1x = 10 + 2x Solving -14 + -1x = 10 + 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. -14 + -1x + -2x = 10 + 2x + -2x Combine like terms: -1x + -2x = -3x -14 + -3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -3x = 10 + 0 -14 + -3x = 10 Add '14' to each side of the equation. -14 + 14 + -3x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 10 + 14 -3x = 10 + 14 Combine like terms: 10 + 14 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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