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Simplifying 2(4 + 3x) = 5(8 + -2x) (4 * 2 + 3x * 2) = 5(8 + -2x) (8 + 6x) = 5(8 + -2x) 8 + 6x = (8 * 5 + -2x * 5) 8 + 6x = (40 + -10x) Solving 8 + 6x = 40 + -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. 8 + 6x + 10x = 40 + -10x + 10x Combine like terms: 6x + 10x = 16x 8 + 16x = 40 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 16x = 40 + 0 8 + 16x = 40 Add '-8' to each side of the equation. 8 + -8 + 16x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 40 + -8 16x = 40 + -8 Combine like terms: 40 + -8 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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