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Simplifying 9 + -1(2x + -5) = 3x + -1(2x + -5) Reorder the terms: 9 + -1(-5 + 2x) = 3x + -1(2x + -5) 9 + (-5 * -1 + 2x * -1) = 3x + -1(2x + -5) 9 + (5 + -2x) = 3x + -1(2x + -5) Combine like terms: 9 + 5 = 14 14 + -2x = 3x + -1(2x + -5) Reorder the terms: 14 + -2x = 3x + -1(-5 + 2x) 14 + -2x = 3x + (-5 * -1 + 2x * -1) 14 + -2x = 3x + (5 + -2x) Reorder the terms: 14 + -2x = 5 + 3x + -2x Combine like terms: 3x + -2x = 1x 14 + -2x = 5 + 1x Solving 14 + -2x = 5 + 1x 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. 14 + -2x + -1x = 5 + 1x + -1x Combine like terms: -2x + -1x = -3x 14 + -3x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 14 + -3x = 5 + 0 14 + -3x = 5 Add '-14' to each side of the equation. 14 + -14 + -3x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 5 + -14 -3x = 5 + -14 Combine like terms: 5 + -14 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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