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Simplifying 14 + -1(x + -9) = 10 + 5x + -1(7x + -5) Reorder the terms: 14 + -1(-9 + x) = 10 + 5x + -1(7x + -5) 14 + (-9 * -1 + x * -1) = 10 + 5x + -1(7x + -5) 14 + (9 + -1x) = 10 + 5x + -1(7x + -5) Combine like terms: 14 + 9 = 23 23 + -1x = 10 + 5x + -1(7x + -5) Reorder the terms: 23 + -1x = 10 + 5x + -1(-5 + 7x) 23 + -1x = 10 + 5x + (-5 * -1 + 7x * -1) 23 + -1x = 10 + 5x + (5 + -7x) Reorder the terms: 23 + -1x = 10 + 5 + 5x + -7x Combine like terms: 10 + 5 = 15 23 + -1x = 15 + 5x + -7x Combine like terms: 5x + -7x = -2x 23 + -1x = 15 + -2x Solving 23 + -1x = 15 + -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. 23 + -1x + 2x = 15 + -2x + 2x Combine like terms: -1x + 2x = 1x 23 + 1x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + 1x = 15 + 0 23 + 1x = 15 Add '-23' to each side of the equation. 23 + -23 + 1x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 15 + -23 1x = 15 + -23 Combine like terms: 15 + -23 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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