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Simplifying 3.5x + -20 + 0.5x = 40 + -2x Reorder the terms: -20 + 3.5x + 0.5x = 40 + -2x Combine like terms: 3.5x + 0.5x = 4x -20 + 4x = 40 + -2x Solving -20 + 4x = 40 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 4x + 2x = 40 + -2x + 2x Combine like terms: 4x + 2x = 6x -20 + 6x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 6x = 40 + 0 -20 + 6x = 40 Add '20' to each side of the equation. -20 + 20 + 6x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 40 + 20 6x = 40 + 20 Combine like terms: 40 + 20 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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