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