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Simplifying 3(x + 2) = 12 + -1(x + -6) Reorder the terms: 3(2 + x) = 12 + -1(x + -6) (2 * 3 + x * 3) = 12 + -1(x + -6) (6 + 3x) = 12 + -1(x + -6) Reorder the terms: 6 + 3x = 12 + -1(-6 + x) 6 + 3x = 12 + (-6 * -1 + x * -1) 6 + 3x = 12 + (6 + -1x) Combine like terms: 12 + 6 = 18 6 + 3x = 18 + -1x Solving 6 + 3x = 18 + -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. 6 + 3x + x = 18 + -1x + x Combine like terms: 3x + x = 4x 6 + 4x = 18 + -1x + x Combine like terms: -1x + x = 0 6 + 4x = 18 + 0 6 + 4x = 18 Add '-6' to each side of the equation. 6 + -6 + 4x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 18 + -6 4x = 18 + -6 Combine like terms: 18 + -6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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