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Simplifying 3(3 + -4x) = 2(2x + 5) (3 * 3 + -4x * 3) = 2(2x + 5) (9 + -12x) = 2(2x + 5) Reorder the terms: 9 + -12x = 2(5 + 2x) 9 + -12x = (5 * 2 + 2x * 2) 9 + -12x = (10 + 4x) Solving 9 + -12x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + -12x + -4x = 10 + 4x + -4x Combine like terms: -12x + -4x = -16x 9 + -16x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -16x = 10 + 0 9 + -16x = 10 Add '-9' to each side of the equation. 9 + -9 + -16x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -16x = 10 + -9 -16x = 10 + -9 Combine like terms: 10 + -9 = 1 -16x = 1 Divide each side by '-16'. x = -0.0625 Simplifying x = -0.0625
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