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Simplifying 7(x + -20) = 5(x + 2) Reorder the terms: 7(-20 + x) = 5(x + 2) (-20 * 7 + x * 7) = 5(x + 2) (-140 + 7x) = 5(x + 2) Reorder the terms: -140 + 7x = 5(2 + x) -140 + 7x = (2 * 5 + x * 5) -140 + 7x = (10 + 5x) Solving -140 + 7x = 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. -140 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x -140 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -140 + 2x = 10 + 0 -140 + 2x = 10 Add '140' to each side of the equation. -140 + 140 + 2x = 10 + 140 Combine like terms: -140 + 140 = 0 0 + 2x = 10 + 140 2x = 10 + 140 Combine like terms: 10 + 140 = 150 2x = 150 Divide each side by '2'. x = 75 Simplifying x = 75
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