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Simplifying 9 + -5x = 12 + -1(3x + -5) Reorder the terms: 9 + -5x = 12 + -1(-5 + 3x) 9 + -5x = 12 + (-5 * -1 + 3x * -1) 9 + -5x = 12 + (5 + -3x) Combine like terms: 12 + 5 = 17 9 + -5x = 17 + -3x Solving 9 + -5x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + -5x + 3x = 17 + -3x + 3x Combine like terms: -5x + 3x = -2x 9 + -2x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -2x = 17 + 0 9 + -2x = 17 Add '-9' to each side of the equation. 9 + -9 + -2x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 17 + -9 -2x = 17 + -9 Combine like terms: 17 + -9 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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