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Simplifying 3(2 + 4) + 2(x + 1) = 3(2 + -4x) Combine like terms: 2 + 4 = 6 3(6) + 2(x + 1) = 3(2 + -4x) Multiply 3 * 6 18 + 2(x + 1) = 3(2 + -4x) Reorder the terms: 18 + 2(1 + x) = 3(2 + -4x) 18 + (1 * 2 + x * 2) = 3(2 + -4x) 18 + (2 + 2x) = 3(2 + -4x) Combine like terms: 18 + 2 = 20 20 + 2x = 3(2 + -4x) 20 + 2x = (2 * 3 + -4x * 3) 20 + 2x = (6 + -12x) Solving 20 + 2x = 6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 20 + 2x + 12x = 6 + -12x + 12x Combine like terms: 2x + 12x = 14x 20 + 14x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 20 + 14x = 6 + 0 20 + 14x = 6 Add '-20' to each side of the equation. 20 + -20 + 14x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 14x = 6 + -20 14x = 6 + -20 Combine like terms: 6 + -20 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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