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Simplifying 3(2x + 5) + -4x = 5(x + 9) Reorder the terms: 3(5 + 2x) + -4x = 5(x + 9) (5 * 3 + 2x * 3) + -4x = 5(x + 9) (15 + 6x) + -4x = 5(x + 9) Combine like terms: 6x + -4x = 2x 15 + 2x = 5(x + 9) Reorder the terms: 15 + 2x = 5(9 + x) 15 + 2x = (9 * 5 + x * 5) 15 + 2x = (45 + 5x) Solving 15 + 2x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 2x + -5x = 45 + 5x + -5x Combine like terms: 2x + -5x = -3x 15 + -3x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -3x = 45 + 0 15 + -3x = 45 Add '-15' to each side of the equation. 15 + -15 + -3x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 45 + -15 -3x = 45 + -15 Combine like terms: 45 + -15 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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