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Simplifying 9 = 3(x + -2) + -1(x + -5) Reorder the terms: 9 = 3(-2 + x) + -1(x + -5) 9 = (-2 * 3 + x * 3) + -1(x + -5) 9 = (-6 + 3x) + -1(x + -5) Reorder the terms: 9 = -6 + 3x + -1(-5 + x) 9 = -6 + 3x + (-5 * -1 + x * -1) 9 = -6 + 3x + (5 + -1x) Reorder the terms: 9 = -6 + 5 + 3x + -1x Combine like terms: -6 + 5 = -1 9 = -1 + 3x + -1x Combine like terms: 3x + -1x = 2x 9 = -1 + 2x Solving 9 = -1 + 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. 9 + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -2x = -1 + 0 9 + -2x = -1 Add '-9' to each side of the equation. 9 + -9 + -2x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -1 + -9 -2x = -1 + -9 Combine like terms: -1 + -9 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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