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Simplifying 7(x + -2) = 5(x + 20) Reorder the terms: 7(-2 + x) = 5(x + 20) (-2 * 7 + x * 7) = 5(x + 20) (-14 + 7x) = 5(x + 20) Reorder the terms: -14 + 7x = 5(20 + x) -14 + 7x = (20 * 5 + x * 5) -14 + 7x = (100 + 5x) Solving -14 + 7x = 100 + 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. -14 + 7x + -5x = 100 + 5x + -5x Combine like terms: 7x + -5x = 2x -14 + 2x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 2x = 100 + 0 -14 + 2x = 100 Add '14' to each side of the equation. -14 + 14 + 2x = 100 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 100 + 14 2x = 100 + 14 Combine like terms: 100 + 14 = 114 2x = 114 Divide each side by '2'. x = 57 Simplifying x = 57
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