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