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Simplifying -1(4x + -12) + 2(3x + 5) = 0 Reorder the terms: -1(-12 + 4x) + 2(3x + 5) = 0 (-12 * -1 + 4x * -1) + 2(3x + 5) = 0 (12 + -4x) + 2(3x + 5) = 0 Reorder the terms: 12 + -4x + 2(5 + 3x) = 0 12 + -4x + (5 * 2 + 3x * 2) = 0 12 + -4x + (10 + 6x) = 0 Reorder the terms: 12 + 10 + -4x + 6x = 0 Combine like terms: 12 + 10 = 22 22 + -4x + 6x = 0 Combine like terms: -4x + 6x = 2x 22 + 2x = 0 Solving 22 + 2x = 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 + 2x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 0 + -22 2x = 0 + -22 Combine like terms: 0 + -22 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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