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Simplifying 3(x + 9) + -1(5x + -2) = 14 Reorder the terms: 3(9 + x) + -1(5x + -2) = 14 (9 * 3 + x * 3) + -1(5x + -2) = 14 (27 + 3x) + -1(5x + -2) = 14 Reorder the terms: 27 + 3x + -1(-2 + 5x) = 14 27 + 3x + (-2 * -1 + 5x * -1) = 14 27 + 3x + (2 + -5x) = 14 Reorder the terms: 27 + 2 + 3x + -5x = 14 Combine like terms: 27 + 2 = 29 29 + 3x + -5x = 14 Combine like terms: 3x + -5x = -2x 29 + -2x = 14 Solving 29 + -2x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -2x = 14 + -29 Combine like terms: 29 + -29 = 0 0 + -2x = 14 + -29 -2x = 14 + -29 Combine like terms: 14 + -29 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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