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Simplifying 3(4x + -20) = 4(5 + -2x) Reorder the terms: 3(-20 + 4x) = 4(5 + -2x) (-20 * 3 + 4x * 3) = 4(5 + -2x) (-60 + 12x) = 4(5 + -2x) -60 + 12x = (5 * 4 + -2x * 4) -60 + 12x = (20 + -8x) Solving -60 + 12x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -60 + 12x + 8x = 20 + -8x + 8x Combine like terms: 12x + 8x = 20x -60 + 20x = 20 + -8x + 8x Combine like terms: -8x + 8x = 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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