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Simplifying 3(8 + -2x) = 2(5x + 4) (8 * 3 + -2x * 3) = 2(5x + 4) (24 + -6x) = 2(5x + 4) Reorder the terms: 24 + -6x = 2(4 + 5x) 24 + -6x = (4 * 2 + 5x * 2) 24 + -6x = (8 + 10x) Solving 24 + -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. 24 + -6x + -10x = 8 + 10x + -10x Combine like terms: -6x + -10x = -16x 24 + -16x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -16x = 8 + 0 24 + -16x = 8 Add '-24' to each side of the equation. 24 + -24 + -16x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -16x = 8 + -24 -16x = 8 + -24 Combine like terms: 8 + -24 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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