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Simplifying -1(5x + -12) + 3(4x + 6) = 0 Reorder the terms: -1(-12 + 5x) + 3(4x + 6) = 0 (-12 * -1 + 5x * -1) + 3(4x + 6) = 0 (12 + -5x) + 3(4x + 6) = 0 Reorder the terms: 12 + -5x + 3(6 + 4x) = 0 12 + -5x + (6 * 3 + 4x * 3) = 0 12 + -5x + (18 + 12x) = 0 Reorder the terms: 12 + 18 + -5x + 12x = 0 Combine like terms: 12 + 18 = 30 30 + -5x + 12x = 0 Combine like terms: -5x + 12x = 7x 30 + 7x = 0 Solving 30 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 0 + -30 7x = 0 + -30 Combine like terms: 0 + -30 = -30 7x = -30 Divide each side by '7'. x = -4.285714286 Simplifying x = -4.285714286
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