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Simplifying 3 = 3(x + -2) + -1(x + -5) Reorder the terms: 3 = 3(-2 + x) + -1(x + -5) 3 = (-2 * 3 + x * 3) + -1(x + -5) 3 = (-6 + 3x) + -1(x + -5) Reorder the terms: 3 = -6 + 3x + -1(-5 + x) 3 = -6 + 3x + (-5 * -1 + x * -1) 3 = -6 + 3x + (5 + -1x) Reorder the terms: 3 = -6 + 5 + 3x + -1x Combine like terms: -6 + 5 = -1 3 = -1 + 3x + -1x Combine like terms: 3x + -1x = 2x 3 = -1 + 2x Solving 3 = -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. 3 + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -2x = -1 + 0 3 + -2x = -1 Add '-3' to each side of the equation. 3 + -3 + -2x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -1 + -3 -2x = -1 + -3 Combine like terms: -1 + -3 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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