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Simplifying -3(2x + -3) = 2(5x + 4) Reorder the terms: -3(-3 + 2x) = 2(5x + 4) (-3 * -3 + 2x * -3) = 2(5x + 4) (9 + -6x) = 2(5x + 4) Reorder the terms: 9 + -6x = 2(4 + 5x) 9 + -6x = (4 * 2 + 5x * 2) 9 + -6x = (8 + 10x) Solving 9 + -6x = 8 + 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. 9 + -6x + -10x = 8 + 10x + -10x Combine like terms: -6x + -10x = -16x 9 + -16x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -16x = 8 + 0 9 + -16x = 8 Add '-9' to each side of the equation. 9 + -9 + -16x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -16x = 8 + -9 -16x = 8 + -9 Combine like terms: 8 + -9 = -1 -16x = -1 Divide each side by '-16'. x = 0.0625 Simplifying x = 0.0625
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