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Simplifying -3(x + -6) + 12 = 4 + -1(x + 2) Reorder the terms: -3(-6 + x) + 12 = 4 + -1(x + 2) (-6 * -3 + x * -3) + 12 = 4 + -1(x + 2) (18 + -3x) + 12 = 4 + -1(x + 2) Reorder the terms: 18 + 12 + -3x = 4 + -1(x + 2) Combine like terms: 18 + 12 = 30 30 + -3x = 4 + -1(x + 2) Reorder the terms: 30 + -3x = 4 + -1(2 + x) 30 + -3x = 4 + (2 * -1 + x * -1) 30 + -3x = 4 + (-2 + -1x) Combine like terms: 4 + -2 = 2 30 + -3x = 2 + -1x Solving 30 + -3x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 30 + -3x + x = 2 + -1x + x Combine like terms: -3x + x = -2x 30 + -2x = 2 + -1x + x Combine like terms: -1x + x = 0 30 + -2x = 2 + 0 30 + -2x = 2 Add '-30' to each side of the equation. 30 + -30 + -2x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 2 + -30 -2x = 2 + -30 Combine like terms: 2 + -30 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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