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Simplifying 3(x + -20) = 5(x + 4) Reorder the terms: 3(-20 + x) = 5(x + 4) (-20 * 3 + x * 3) = 5(x + 4) (-60 + 3x) = 5(x + 4) Reorder the terms: -60 + 3x = 5(4 + x) -60 + 3x = (4 * 5 + x * 5) -60 + 3x = (20 + 5x) Solving -60 + 3x = 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 + 3x + -5x = 20 + 5x + -5x Combine like terms: 3x + -5x = -2x -60 + -2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -60 + -2x = 20 + 0 -60 + -2x = 20 Add '60' to each side of the equation. -60 + 60 + -2x = 20 + 60 Combine like terms: -60 + 60 = 0 0 + -2x = 20 + 60 -2x = 20 + 60 Combine like terms: 20 + 60 = 80 -2x = 80 Divide each side by '-2'. x = -40 Simplifying x = -40
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