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Simplifying 2(5x + -1) = -1(3x + -24) Reorder the terms: 2(-1 + 5x) = -1(3x + -24) (-1 * 2 + 5x * 2) = -1(3x + -24) (-2 + 10x) = -1(3x + -24) Reorder the terms: -2 + 10x = -1(-24 + 3x) -2 + 10x = (-24 * -1 + 3x * -1) -2 + 10x = (24 + -3x) Solving -2 + 10x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 10x + 3x = 24 + -3x + 3x Combine like terms: 10x + 3x = 13x -2 + 13x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 13x = 24 + 0 -2 + 13x = 24 Add '2' to each side of the equation. -2 + 2 + 13x = 24 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 24 + 2 13x = 24 + 2 Combine like terms: 24 + 2 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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