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Simplifying 12(3x + 4) + -6(2x + -2) = 4x + -20 Reorder the terms: 12(4 + 3x) + -6(2x + -2) = 4x + -20 (4 * 12 + 3x * 12) + -6(2x + -2) = 4x + -20 (48 + 36x) + -6(2x + -2) = 4x + -20 Reorder the terms: 48 + 36x + -6(-2 + 2x) = 4x + -20 48 + 36x + (-2 * -6 + 2x * -6) = 4x + -20 48 + 36x + (12 + -12x) = 4x + -20 Reorder the terms: 48 + 12 + 36x + -12x = 4x + -20 Combine like terms: 48 + 12 = 60 60 + 36x + -12x = 4x + -20 Combine like terms: 36x + -12x = 24x 60 + 24x = 4x + -20 Reorder the terms: 60 + 24x = -20 + 4x Solving 60 + 24x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 60 + 24x + -4x = -20 + 4x + -4x Combine like terms: 24x + -4x = 20x 60 + 20x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 60 + 20x = -20 + 0 60 + 20x = -20 Add '-60' to each side of the equation. 60 + -60 + 20x = -20 + -60 Combine like terms: 60 + -60 = 0 0 + 20x = -20 + -60 20x = -20 + -60 Combine like terms: -20 + -60 = -80 20x = -80 Divide each side by '20'. x = -4 Simplifying x = -4
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