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Simplifying 5(x + 3) + 2(1 + -1x) = 14 Reorder the terms: 5(3 + x) + 2(1 + -1x) = 14 (3 * 5 + x * 5) + 2(1 + -1x) = 14 (15 + 5x) + 2(1 + -1x) = 14 15 + 5x + (1 * 2 + -1x * 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 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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