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Simplifying -1(5x + -12) + 2(4x + 5) = 0 Reorder the terms: -1(-12 + 5x) + 2(4x + 5) = 0 (-12 * -1 + 5x * -1) + 2(4x + 5) = 0 (12 + -5x) + 2(4x + 5) = 0 Reorder the terms: 12 + -5x + 2(5 + 4x) = 0 12 + -5x + (5 * 2 + 4x * 2) = 0 12 + -5x + (10 + 8x) = 0 Reorder the terms: 12 + 10 + -5x + 8x = 0 Combine like terms: 12 + 10 = 22 22 + -5x + 8x = 0 Combine like terms: -5x + 8x = 3x 22 + 3x = 0 Solving 22 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 3x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 0 + -22 3x = 0 + -22 Combine like terms: 0 + -22 = -22 3x = -22 Divide each side by '3'. x = -7.333333333 Simplifying x = -7.333333333
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