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Simplifying -1(3x + 2) = -5(2x + -1) Reorder the terms: -1(2 + 3x) = -5(2x + -1) (2 * -1 + 3x * -1) = -5(2x + -1) (-2 + -3x) = -5(2x + -1) Reorder the terms: -2 + -3x = -5(-1 + 2x) -2 + -3x = (-1 * -5 + 2x * -5) -2 + -3x = (5 + -10x) Solving -2 + -3x = 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. -2 + -3x + 10x = 5 + -10x + 10x Combine like terms: -3x + 10x = 7x -2 + 7x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 -2 + 7x = 5 + 0 -2 + 7x = 5 Add '2' to each side of the equation. -2 + 2 + 7x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 5 + 2 7x = 5 + 2 Combine like terms: 5 + 2 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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