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Simplifying 7 + -1(x + 2) = 9 + -1(2x + -1) Reorder the terms: 7 + -1(2 + x) = 9 + -1(2x + -1) 7 + (2 * -1 + x * -1) = 9 + -1(2x + -1) 7 + (-2 + -1x) = 9 + -1(2x + -1) Combine like terms: 7 + -2 = 5 5 + -1x = 9 + -1(2x + -1) Reorder the terms: 5 + -1x = 9 + -1(-1 + 2x) 5 + -1x = 9 + (-1 * -1 + 2x * -1) 5 + -1x = 9 + (1 + -2x) Combine like terms: 9 + 1 = 10 5 + -1x = 10 + -2x Solving 5 + -1x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + -1x + 2x = 10 + -2x + 2x Combine like terms: -1x + 2x = 1x 5 + 1x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 1x = 10 + 0 5 + 1x = 10 Add '-5' to each side of the equation. 5 + -5 + 1x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 10 + -5 1x = 10 + -5 Combine like terms: 10 + -5 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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