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Simplifying 5(2x + -1) = 8(x + -1) Reorder the terms: 5(-1 + 2x) = 8(x + -1) (-1 * 5 + 2x * 5) = 8(x + -1) (-5 + 10x) = 8(x + -1) Reorder the terms: -5 + 10x = 8(-1 + x) -5 + 10x = (-1 * 8 + x * 8) -5 + 10x = (-8 + 8x) Solving -5 + 10x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 10x + -8x = -8 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = -8 + 0 -5 + 2x = -8 Add '5' to each side of the equation. -5 + 5 + 2x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -8 + 5 2x = -8 + 5 Combine like terms: -8 + 5 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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