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Simplifying 12(2x + -8) = 4(9 + 10x) Reorder the terms: 12(-8 + 2x) = 4(9 + 10x) (-8 * 12 + 2x * 12) = 4(9 + 10x) (-96 + 24x) = 4(9 + 10x) -96 + 24x = (9 * 4 + 10x * 4) -96 + 24x = (36 + 40x) Solving -96 + 24x = 36 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -96 + 24x + -40x = 36 + 40x + -40x Combine like terms: 24x + -40x = -16x -96 + -16x = 36 + 40x + -40x Combine like terms: 40x + -40x = 0 -96 + -16x = 36 + 0 -96 + -16x = 36 Add '96' to each side of the equation. -96 + 96 + -16x = 36 + 96 Combine like terms: -96 + 96 = 0 0 + -16x = 36 + 96 -16x = 36 + 96 Combine like terms: 36 + 96 = 132 -16x = 132 Divide each side by '-16'. x = -8.25 Simplifying x = -8.25
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