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Simplifying 3(2x + 5) = 2(4x + 5) + 9 Reorder the terms: 3(5 + 2x) = 2(4x + 5) + 9 (5 * 3 + 2x * 3) = 2(4x + 5) + 9 (15 + 6x) = 2(4x + 5) + 9 Reorder the terms: 15 + 6x = 2(5 + 4x) + 9 15 + 6x = (5 * 2 + 4x * 2) + 9 15 + 6x = (10 + 8x) + 9 Reorder the terms: 15 + 6x = 10 + 9 + 8x Combine like terms: 10 + 9 = 19 15 + 6x = 19 + 8x Solving 15 + 6x = 19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 6x + -8x = 19 + 8x + -8x Combine like terms: 6x + -8x = -2x 15 + -2x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -2x = 19 + 0 15 + -2x = 19 Add '-15' to each side of the equation. 15 + -15 + -2x = 19 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 19 + -15 -2x = 19 + -15 Combine like terms: 19 + -15 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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