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Simplifying 3(2x + 12) = 2(x + -4) + x Reorder the terms: 3(12 + 2x) = 2(x + -4) + x (12 * 3 + 2x * 3) = 2(x + -4) + x (36 + 6x) = 2(x + -4) + x Reorder the terms: 36 + 6x = 2(-4 + x) + x 36 + 6x = (-4 * 2 + x * 2) + x 36 + 6x = (-8 + 2x) + x Combine like terms: 2x + x = 3x 36 + 6x = -8 + 3x Solving 36 + 6x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 36 + 6x + -3x = -8 + 3x + -3x Combine like terms: 6x + -3x = 3x 36 + 3x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + 3x = -8 + 0 36 + 3x = -8 Add '-36' to each side of the equation. 36 + -36 + 3x = -8 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = -8 + -36 3x = -8 + -36 Combine like terms: -8 + -36 = -44 3x = -44 Divide each side by '3'. x = -14.66666667 Simplifying x = -14.66666667
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