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Simplifying 5(2x + -5) + -5 = 5(x + -3) + 25 Reorder the terms: 5(-5 + 2x) + -5 = 5(x + -3) + 25 (-5 * 5 + 2x * 5) + -5 = 5(x + -3) + 25 (-25 + 10x) + -5 = 5(x + -3) + 25 Reorder the terms: -25 + -5 + 10x = 5(x + -3) + 25 Combine like terms: -25 + -5 = -30 -30 + 10x = 5(x + -3) + 25 Reorder the terms: -30 + 10x = 5(-3 + x) + 25 -30 + 10x = (-3 * 5 + x * 5) + 25 -30 + 10x = (-15 + 5x) + 25 Reorder the terms: -30 + 10x = -15 + 25 + 5x Combine like terms: -15 + 25 = 10 -30 + 10x = 10 + 5x Solving -30 + 10x = 10 + 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. -30 + 10x + -5x = 10 + 5x + -5x Combine like terms: 10x + -5x = 5x -30 + 5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 5x = 10 + 0 -30 + 5x = 10 Add '30' to each side of the equation. -30 + 30 + 5x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 10 + 30 5x = 10 + 30 Combine like terms: 10 + 30 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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