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Simplifying 3x + -20 = 2x + 40 + 3x + 24 Reorder the terms: -20 + 3x = 2x + 40 + 3x + 24 Reorder the terms: -20 + 3x = 40 + 24 + 2x + 3x Combine like terms: 40 + 24 = 64 -20 + 3x = 64 + 2x + 3x Combine like terms: 2x + 3x = 5x -20 + 3x = 64 + 5x Solving -20 + 3x = 64 + 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. -20 + 3x + -5x = 64 + 5x + -5x Combine like terms: 3x + -5x = -2x -20 + -2x = 64 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -2x = 64 + 0 -20 + -2x = 64 Add '20' to each side of the equation. -20 + 20 + -2x = 64 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 64 + 20 -2x = 64 + 20 Combine like terms: 64 + 20 = 84 -2x = 84 Divide each side by '-2'. x = -42 Simplifying x = -42
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