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Simplifying 12 = 3(x + -1) + -1(x + -5) Reorder the terms: 12 = 3(-1 + x) + -1(x + -5) 12 = (-1 * 3 + x * 3) + -1(x + -5) 12 = (-3 + 3x) + -1(x + -5) Reorder the terms: 12 = -3 + 3x + -1(-5 + x) 12 = -3 + 3x + (-5 * -1 + x * -1) 12 = -3 + 3x + (5 + -1x) Reorder the terms: 12 = -3 + 5 + 3x + -1x Combine like terms: -3 + 5 = 2 12 = 2 + 3x + -1x Combine like terms: 3x + -1x = 2x 12 = 2 + 2x Solving 12 = 2 + 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. 12 + -2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -2x = 2 + 0 12 + -2x = 2 Add '-12' to each side of the equation. 12 + -12 + -2x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 2 + -12 -2x = 2 + -12 Combine like terms: 2 + -12 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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