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Simplifying 3(3x + 9) + -1(5x + -2) = 14 Reorder the terms: 3(9 + 3x) + -1(5x + -2) = 14 (9 * 3 + 3x * 3) + -1(5x + -2) = 14 (27 + 9x) + -1(5x + -2) = 14 Reorder the terms: 27 + 9x + -1(-2 + 5x) = 14 27 + 9x + (-2 * -1 + 5x * -1) = 14 27 + 9x + (2 + -5x) = 14 Reorder the terms: 27 + 2 + 9x + -5x = 14 Combine like terms: 27 + 2 = 29 29 + 9x + -5x = 14 Combine like terms: 9x + -5x = 4x 29 + 4x = 14 Solving 29 + 4x = 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 + 4x = 14 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 14 + -29 4x = 14 + -29 Combine like terms: 14 + -29 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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