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Simplifying x + x + 20 = 30 + x + 100 Reorder the terms: 20 + x + x = 30 + x + 100 Combine like terms: x + x = 2x 20 + 2x = 30 + x + 100 Reorder the terms: 20 + 2x = 30 + 100 + x Combine like terms: 30 + 100 = 130 20 + 2x = 130 + x Solving 20 + 2x = 130 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 2x + -1x = 130 + x + -1x Combine like terms: 2x + -1x = 1x 20 + 1x = 130 + x + -1x Combine like terms: x + -1x = 0 20 + 1x = 130 + 0 20 + 1x = 130 Add '-20' to each side of the equation. 20 + -20 + 1x = 130 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 130 + -20 1x = 130 + -20 Combine like terms: 130 + -20 = 110 1x = 110 Divide each side by '1'. x = 110 Simplifying x = 110
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