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Simplifying 2x + 5 = 2 + -1(x + -9) Reorder the terms: 5 + 2x = 2 + -1(x + -9) Reorder the terms: 5 + 2x = 2 + -1(-9 + x) 5 + 2x = 2 + (-9 * -1 + x * -1) 5 + 2x = 2 + (9 + -1x) Combine like terms: 2 + 9 = 11 5 + 2x = 11 + -1x Solving 5 + 2x = 11 + -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. 5 + 2x + x = 11 + -1x + x Combine like terms: 2x + x = 3x 5 + 3x = 11 + -1x + x Combine like terms: -1x + x = 0 5 + 3x = 11 + 0 5 + 3x = 11 Add '-5' to each side of the equation. 5 + -5 + 3x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 11 + -5 3x = 11 + -5 Combine like terms: 11 + -5 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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