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Simplifying 5(2x + -5) = -1(-4x + -5) Reorder the terms: 5(-5 + 2x) = -1(-4x + -5) (-5 * 5 + 2x * 5) = -1(-4x + -5) (-25 + 10x) = -1(-4x + -5) Reorder the terms: -25 + 10x = -1(-5 + -4x) -25 + 10x = (-5 * -1 + -4x * -1) -25 + 10x = (5 + 4x) Solving -25 + 10x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -25 + 10x + -4x = 5 + 4x + -4x Combine like terms: 10x + -4x = 6x -25 + 6x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 6x = 5 + 0 -25 + 6x = 5 Add '25' to each side of the equation. -25 + 25 + 6x = 5 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = 5 + 25 6x = 5 + 25 Combine like terms: 5 + 25 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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