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Simplifying 3(2x + -1) = 5(1 + -2x) Reorder the terms: 3(-1 + 2x) = 5(1 + -2x) (-1 * 3 + 2x * 3) = 5(1 + -2x) (-3 + 6x) = 5(1 + -2x) -3 + 6x = (1 * 5 + -2x * 5) -3 + 6x = (5 + -10x) Solving -3 + 6x = 5 + -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. -3 + 6x + 10x = 5 + -10x + 10x Combine like terms: 6x + 10x = 16x -3 + 16x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 -3 + 16x = 5 + 0 -3 + 16x = 5 Add '3' to each side of the equation. -3 + 3 + 16x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 16x = 5 + 3 16x = 5 + 3 Combine like terms: 5 + 3 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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