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Simplifying 2(x + -15) = 3(25 + -1x) Reorder the terms: 2(-15 + x) = 3(25 + -1x) (-15 * 2 + x * 2) = 3(25 + -1x) (-30 + 2x) = 3(25 + -1x) -30 + 2x = (25 * 3 + -1x * 3) -30 + 2x = (75 + -3x) Solving -30 + 2x = 75 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 2x + 3x = 75 + -3x + 3x Combine like terms: 2x + 3x = 5x -30 + 5x = 75 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 5x = 75 + 0 -30 + 5x = 75 Add '30' to each side of the equation. -30 + 30 + 5x = 75 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 75 + 30 5x = 75 + 30 Combine like terms: 75 + 30 = 105 5x = 105 Divide each side by '5'. x = 21 Simplifying x = 21
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