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Simplifying -1(4x + -12) + 4(6x + 6) = 0 Reorder the terms: -1(-12 + 4x) + 4(6x + 6) = 0 (-12 * -1 + 4x * -1) + 4(6x + 6) = 0 (12 + -4x) + 4(6x + 6) = 0 Reorder the terms: 12 + -4x + 4(6 + 6x) = 0 12 + -4x + (6 * 4 + 6x * 4) = 0 12 + -4x + (24 + 24x) = 0 Reorder the terms: 12 + 24 + -4x + 24x = 0 Combine like terms: 12 + 24 = 36 36 + -4x + 24x = 0 Combine like terms: -4x + 24x = 20x 36 + 20x = 0 Solving 36 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 20x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 20x = 0 + -36 20x = 0 + -36 Combine like terms: 0 + -36 = -36 20x = -36 Divide each side by '20'. x = -1.8 Simplifying x = -1.8
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