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Simplifying -5x + -20 + 8x = 5 + -2x + 35 Reorder the terms: -20 + -5x + 8x = 5 + -2x + 35 Combine like terms: -5x + 8x = 3x -20 + 3x = 5 + -2x + 35 Reorder the terms: -20 + 3x = 5 + 35 + -2x Combine like terms: 5 + 35 = 40 -20 + 3x = 40 + -2x Solving -20 + 3x = 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 + 3x + 2x = 40 + -2x + 2x Combine like terms: 3x + 2x = 5x -20 + 5x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 5x = 40 + 0 -20 + 5x = 40 Add '20' to each side of the equation. -20 + 20 + 5x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 40 + 20 5x = 40 + 20 Combine like terms: 40 + 20 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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