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Simplifying 5(x + -2) + 2(x + 5) + 40 = 180 Reorder the terms: 5(-2 + x) + 2(x + 5) + 40 = 180 (-2 * 5 + x * 5) + 2(x + 5) + 40 = 180 (-10 + 5x) + 2(x + 5) + 40 = 180 Reorder the terms: -10 + 5x + 2(5 + x) + 40 = 180 -10 + 5x + (5 * 2 + x * 2) + 40 = 180 -10 + 5x + (10 + 2x) + 40 = 180 Reorder the terms: -10 + 10 + 40 + 5x + 2x = 180 Combine like terms: -10 + 10 = 0 0 + 40 + 5x + 2x = 180 40 + 5x + 2x = 180 Combine like terms: 5x + 2x = 7x 40 + 7x = 180 Solving 40 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 7x = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 180 + -40 7x = 180 + -40 Combine like terms: 180 + -40 = 140 7x = 140 Divide each side by '7'. x = 20 Simplifying x = 20
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