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Simplifying 5(2x + -5) = 5(x + -6) Reorder the terms: 5(-5 + 2x) = 5(x + -6) (-5 * 5 + 2x * 5) = 5(x + -6) (-25 + 10x) = 5(x + -6) Reorder the terms: -25 + 10x = 5(-6 + x) -25 + 10x = (-6 * 5 + x * 5) -25 + 10x = (-30 + 5x) Solving -25 + 10x = -30 + 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. -25 + 10x + -5x = -30 + 5x + -5x Combine like terms: 10x + -5x = 5x -25 + 5x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + 5x = -30 + 0 -25 + 5x = -30 Add '25' to each side of the equation. -25 + 25 + 5x = -30 + 25 Combine like terms: -25 + 25 = 0 0 + 5x = -30 + 25 5x = -30 + 25 Combine like terms: -30 + 25 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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