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Simplifying 12(x + 3) + 4(2x + -5) = 0 Reorder the terms: 12(3 + x) + 4(2x + -5) = 0 (3 * 12 + x * 12) + 4(2x + -5) = 0 (36 + 12x) + 4(2x + -5) = 0 Reorder the terms: 36 + 12x + 4(-5 + 2x) = 0 36 + 12x + (-5 * 4 + 2x * 4) = 0 36 + 12x + (-20 + 8x) = 0 Reorder the terms: 36 + -20 + 12x + 8x = 0 Combine like terms: 36 + -20 = 16 16 + 12x + 8x = 0 Combine like terms: 12x + 8x = 20x 16 + 20x = 0 Solving 16 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 20x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 20x = 0 + -16 20x = 0 + -16 Combine like terms: 0 + -16 = -16 20x = -16 Divide each side by '20'. x = -0.8 Simplifying x = -0.8
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