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Simplifying 2x + 5 + 3x + -10 = 5x + 30 + 5x + -10 Reorder the terms: 5 + -10 + 2x + 3x = 5x + 30 + 5x + -10 Combine like terms: 5 + -10 = -5 -5 + 2x + 3x = 5x + 30 + 5x + -10 Combine like terms: 2x + 3x = 5x -5 + 5x = 5x + 30 + 5x + -10 Reorder the terms: -5 + 5x = 30 + -10 + 5x + 5x Combine like terms: 30 + -10 = 20 -5 + 5x = 20 + 5x + 5x Combine like terms: 5x + 5x = 10x -5 + 5x = 20 + 10x Solving -5 + 5x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 5x + -10x = 20 + 10x + -10x Combine like terms: 5x + -10x = -5x -5 + -5x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -5x = 20 + 0 -5 + -5x = 20 Add '5' to each side of the equation. -5 + 5 + -5x = 20 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 20 + 5 -5x = 20 + 5 Combine like terms: 20 + 5 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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