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Simplifying x + -2(x + -6) = 2 + -1(4x + 5) Reorder the terms: x + -2(-6 + x) = 2 + -1(4x + 5) x + (-6 * -2 + x * -2) = 2 + -1(4x + 5) x + (12 + -2x) = 2 + -1(4x + 5) Reorder the terms: 12 + x + -2x = 2 + -1(4x + 5) Combine like terms: x + -2x = -1x 12 + -1x = 2 + -1(4x + 5) Reorder the terms: 12 + -1x = 2 + -1(5 + 4x) 12 + -1x = 2 + (5 * -1 + 4x * -1) 12 + -1x = 2 + (-5 + -4x) Combine like terms: 2 + -5 = -3 12 + -1x = -3 + -4x Solving 12 + -1x = -3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + -1x + 4x = -3 + -4x + 4x Combine like terms: -1x + 4x = 3x 12 + 3x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 3x = -3 + 0 12 + 3x = -3 Add '-12' to each side of the equation. 12 + -12 + 3x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -3 + -12 3x = -3 + -12 Combine like terms: -3 + -12 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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