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Simplifying 3(x + 9) = 2(5x + -9) Reorder the terms: 3(9 + x) = 2(5x + -9) (9 * 3 + x * 3) = 2(5x + -9) (27 + 3x) = 2(5x + -9) Reorder the terms: 27 + 3x = 2(-9 + 5x) 27 + 3x = (-9 * 2 + 5x * 2) 27 + 3x = (-18 + 10x) Solving 27 + 3x = -18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + 3x + -10x = -18 + 10x + -10x Combine like terms: 3x + -10x = -7x 27 + -7x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -7x = -18 + 0 27 + -7x = -18 Add '-27' to each side of the equation. 27 + -27 + -7x = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = -18 + -27 -7x = -18 + -27 Combine like terms: -18 + -27 = -45 -7x = -45 Divide each side by '-7'. x = 6.428571429 Simplifying x = 6.428571429
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