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Simplifying 5(x + -1) = 2(4x + 5) Reorder the terms: 5(-1 + x) = 2(4x + 5) (-1 * 5 + x * 5) = 2(4x + 5) (-5 + 5x) = 2(4x + 5) Reorder the terms: -5 + 5x = 2(5 + 4x) -5 + 5x = (5 * 2 + 4x * 2) -5 + 5x = (10 + 8x) Solving -5 + 5x = 10 + 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 + 5x + -8x = 10 + 8x + -8x Combine like terms: 5x + -8x = -3x -5 + -3x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -3x = 10 + 0 -5 + -3x = 10 Add '5' to each side of the equation. -5 + 5 + -3x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 10 + 5 -3x = 10 + 5 Combine like terms: 10 + 5 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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