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Simplifying 2(3x + 12) = 4(4 + -4x) + 6 Reorder the terms: 2(12 + 3x) = 4(4 + -4x) + 6 (12 * 2 + 3x * 2) = 4(4 + -4x) + 6 (24 + 6x) = 4(4 + -4x) + 6 24 + 6x = (4 * 4 + -4x * 4) + 6 24 + 6x = (16 + -16x) + 6 Reorder the terms: 24 + 6x = 16 + 6 + -16x Combine like terms: 16 + 6 = 22 24 + 6x = 22 + -16x Solving 24 + 6x = 22 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 24 + 6x + 16x = 22 + -16x + 16x Combine like terms: 6x + 16x = 22x 24 + 22x = 22 + -16x + 16x Combine like terms: -16x + 16x = 0 24 + 22x = 22 + 0 24 + 22x = 22 Add '-24' to each side of the equation. 24 + -24 + 22x = 22 + -24 Combine like terms: 24 + -24 = 0 0 + 22x = 22 + -24 22x = 22 + -24 Combine like terms: 22 + -24 = -2 22x = -2 Divide each side by '22'. x = -0.09090909091 Simplifying x = -0.09090909091
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