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Simplifying 3(2x + 12) = 6(x + 4) + -16x Reorder the terms: 3(12 + 2x) = 6(x + 4) + -16x (12 * 3 + 2x * 3) = 6(x + 4) + -16x (36 + 6x) = 6(x + 4) + -16x Reorder the terms: 36 + 6x = 6(4 + x) + -16x 36 + 6x = (4 * 6 + x * 6) + -16x 36 + 6x = (24 + 6x) + -16x Combine like terms: 6x + -16x = -10x 36 + 6x = 24 + -10x Solving 36 + 6x = 24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 36 + 6x + 10x = 24 + -10x + 10x Combine like terms: 6x + 10x = 16x 36 + 16x = 24 + -10x + 10x Combine like terms: -10x + 10x = 0 36 + 16x = 24 + 0 36 + 16x = 24 Add '-36' to each side of the equation. 36 + -36 + 16x = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 16x = 24 + -36 16x = 24 + -36 Combine like terms: 24 + -36 = -12 16x = -12 Divide each side by '16'. x = -0.75 Simplifying x = -0.75
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