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Simplifying 3(x + -8) = -1(2x + -1) Reorder the terms: 3(-8 + x) = -1(2x + -1) (-8 * 3 + x * 3) = -1(2x + -1) (-24 + 3x) = -1(2x + -1) Reorder the terms: -24 + 3x = -1(-1 + 2x) -24 + 3x = (-1 * -1 + 2x * -1) -24 + 3x = (1 + -2x) Solving -24 + 3x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + 3x + 2x = 1 + -2x + 2x Combine like terms: 3x + 2x = 5x -24 + 5x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 5x = 1 + 0 -24 + 5x = 1 Add '24' to each side of the equation. -24 + 24 + 5x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 1 + 24 5x = 1 + 24 Combine like terms: 1 + 24 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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