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Simplifying -5(x + 3) + 2(x + -1) = 14 Reorder the terms: -5(3 + x) + 2(x + -1) = 14 (3 * -5 + x * -5) + 2(x + -1) = 14 (-15 + -5x) + 2(x + -1) = 14 Reorder the terms: -15 + -5x + 2(-1 + x) = 14 -15 + -5x + (-1 * 2 + x * 2) = 14 -15 + -5x + (-2 + 2x) = 14 Reorder the terms: -15 + -2 + -5x + 2x = 14 Combine like terms: -15 + -2 = -17 -17 + -5x + 2x = 14 Combine like terms: -5x + 2x = -3x -17 + -3x = 14 Solving -17 + -3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3x = 14 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 14 + 17 -3x = 14 + 17 Combine like terms: 14 + 17 = 31 -3x = 31 Divide each side by '-3'. x = -10.33333333 Simplifying x = -10.33333333
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