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Simplifying -1(5x + -12) + 3(4x + 4) = 0 Reorder the terms: -1(-12 + 5x) + 3(4x + 4) = 0 (-12 * -1 + 5x * -1) + 3(4x + 4) = 0 (12 + -5x) + 3(4x + 4) = 0 Reorder the terms: 12 + -5x + 3(4 + 4x) = 0 12 + -5x + (4 * 3 + 4x * 3) = 0 12 + -5x + (12 + 12x) = 0 Reorder the terms: 12 + 12 + -5x + 12x = 0 Combine like terms: 12 + 12 = 24 24 + -5x + 12x = 0 Combine like terms: -5x + 12x = 7x 24 + 7x = 0 Solving 24 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 7x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 0 + -24 7x = 0 + -24 Combine like terms: 0 + -24 = -24 7x = -24 Divide each side by '7'. x = -3.428571429 Simplifying x = -3.428571429
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