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Simplifying 1(x + 5) + -1(5(x + -2)) = 7 Reorder the terms: 1(5 + x) + -1(5(x + -2)) = 7 (5 * 1 + x * 1) + -1(5(x + -2)) = 7 (5 + 1x) + -1(5(x + -2)) = 7 Reorder the terms: 5 + 1x + -1(5(-2 + x)) = 7 5 + 1x + -1((-2 * 5 + x * 5)) = 7 5 + 1x + -1((-10 + 5x)) = 7 5 + 1x + (-10 * -1 + 5x * -1) = 7 5 + 1x + (10 + -5x) = 7 Reorder the terms: 5 + 10 + 1x + -5x = 7 Combine like terms: 5 + 10 = 15 15 + 1x + -5x = 7 Combine like terms: 1x + -5x = -4x 15 + -4x = 7 Solving 15 + -4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 7 + -15 -4x = 7 + -15 Combine like terms: 7 + -15 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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