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Simplifying 2(3x + -1) = 5(4 + -2x) Reorder the terms: 2(-1 + 3x) = 5(4 + -2x) (-1 * 2 + 3x * 2) = 5(4 + -2x) (-2 + 6x) = 5(4 + -2x) -2 + 6x = (4 * 5 + -2x * 5) -2 + 6x = (20 + -10x) Solving -2 + 6x = 20 + -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. -2 + 6x + 10x = 20 + -10x + 10x Combine like terms: 6x + 10x = 16x -2 + 16x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 -2 + 16x = 20 + 0 -2 + 16x = 20 Add '2' to each side of the equation. -2 + 2 + 16x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = 20 + 2 16x = 20 + 2 Combine like terms: 20 + 2 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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