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Simplifying 2(5x + -15) = 5(x + 25) Reorder the terms: 2(-15 + 5x) = 5(x + 25) (-15 * 2 + 5x * 2) = 5(x + 25) (-30 + 10x) = 5(x + 25) Reorder the terms: -30 + 10x = 5(25 + x) -30 + 10x = (25 * 5 + x * 5) -30 + 10x = (125 + 5x) Solving -30 + 10x = 125 + 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 = 125 + 5x + -5x Combine like terms: 10x + -5x = 5x -30 + 5x = 125 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 5x = 125 + 0 -30 + 5x = 125 Add '30' to each side of the equation. -30 + 30 + 5x = 125 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 125 + 30 5x = 125 + 30 Combine like terms: 125 + 30 = 155 5x = 155 Divide each side by '5'. x = 31 Simplifying x = 31
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