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