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Simplifying 5(12 + -3x) = 5(x + 4) (12 * 5 + -3x * 5) = 5(x + 4) (60 + -15x) = 5(x + 4) Reorder the terms: 60 + -15x = 5(4 + x) 60 + -15x = (4 * 5 + x * 5) 60 + -15x = (20 + 5x) Solving 60 + -15x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 60 + -15x + -5x = 20 + 5x + -5x Combine like terms: -15x + -5x = -20x 60 + -20x = 20 + 5x + -5x Combine like terms: 5x + -5x = 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 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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