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Simplifying 3(x + 6) + -4 = 2(6 + x + -1) Reorder the terms: 3(6 + x) + -4 = 2(6 + x + -1) (6 * 3 + x * 3) + -4 = 2(6 + x + -1) (18 + 3x) + -4 = 2(6 + x + -1) Reorder the terms: 18 + -4 + 3x = 2(6 + x + -1) Combine like terms: 18 + -4 = 14 14 + 3x = 2(6 + x + -1) Reorder the terms: 14 + 3x = 2(6 + -1 + x) Combine like terms: 6 + -1 = 5 14 + 3x = 2(5 + x) 14 + 3x = (5 * 2 + x * 2) 14 + 3x = (10 + 2x) Solving 14 + 3x = 10 + 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. 14 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 14 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 1x = 10 + 0 14 + 1x = 10 Add '-14' to each side of the equation. 14 + -14 + 1x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 10 + -14 1x = 10 + -14 Combine like terms: 10 + -14 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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