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Simplifying x + 45 = 135 + -1x Reorder the terms: 45 + x = 135 + -1x Solving 45 + x = 135 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 45 + x + x = 135 + -1x + x Combine like terms: x + x = 2x 45 + 2x = 135 + -1x + x Combine like terms: -1x + x = 0 45 + 2x = 135 + 0 45 + 2x = 135 Add '-45' to each side of the equation. 45 + -45 + 2x = 135 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 135 + -45 2x = 135 + -45 Combine like terms: 135 + -45 = 90 2x = 90 Divide each side by '2'. x = 45 Simplifying x = 45
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