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Simplifying x + 2x + -100 = x + 50 + x + -20 Reorder the terms: -100 + x + 2x = x + 50 + x + -20 Combine like terms: x + 2x = 3x -100 + 3x = x + 50 + x + -20 Reorder the terms: -100 + 3x = 50 + -20 + x + x Combine like terms: 50 + -20 = 30 -100 + 3x = 30 + x + x Combine like terms: x + x = 2x -100 + 3x = 30 + 2x Solving -100 + 3x = 30 + 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. -100 + 3x + -2x = 30 + 2x + -2x Combine like terms: 3x + -2x = 1x -100 + 1x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -100 + 1x = 30 + 0 -100 + 1x = 30 Add '100' to each side of the equation. -100 + 100 + 1x = 30 + 100 Combine like terms: -100 + 100 = 0 0 + 1x = 30 + 100 1x = 30 + 100 Combine like terms: 30 + 100 = 130 1x = 130 Divide each side by '1'. x = 130 Simplifying x = 130
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