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Simplifying 2(2 + 3x) = 5(8 + -2x) (2 * 2 + 3x * 2) = 5(8 + -2x) (4 + 6x) = 5(8 + -2x) 4 + 6x = (8 * 5 + -2x * 5) 4 + 6x = (40 + -10x) Solving 4 + 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. 4 + 6x + 10x = 40 + -10x + 10x Combine like terms: 6x + 10x = 16x 4 + 16x = 40 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + 16x = 40 + 0 4 + 16x = 40 Add '-4' to each side of the equation. 4 + -4 + 16x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = 40 + -4 16x = 40 + -4 Combine like terms: 40 + -4 = 36 16x = 36 Divide each side by '16'. x = 2.25 Simplifying x = 2.25
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