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Simplifying 3(2x + 12) + -1(3x + 4) = 0 Reorder the terms: 3(12 + 2x) + -1(3x + 4) = 0 (12 * 3 + 2x * 3) + -1(3x + 4) = 0 (36 + 6x) + -1(3x + 4) = 0 Reorder the terms: 36 + 6x + -1(4 + 3x) = 0 36 + 6x + (4 * -1 + 3x * -1) = 0 36 + 6x + (-4 + -3x) = 0 Reorder the terms: 36 + -4 + 6x + -3x = 0 Combine like terms: 36 + -4 = 32 32 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 32 + 3x = 0 Solving 32 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 3x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 0 + -32 3x = 0 + -32 Combine like terms: 0 + -32 = -32 3x = -32 Divide each side by '3'. x = -10.66666667 Simplifying x = -10.66666667
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