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Simplifying x + -1x + 23 = 2x + -1x + 45 Reorder the terms: 23 + x + -1x = 2x + -1x + 45 Combine like terms: x + -1x = 0 23 + 0 = 2x + -1x + 45 23 = 2x + -1x + 45 Reorder the terms: 23 = 45 + 2x + -1x Combine like terms: 2x + -1x = 1x 23 = 45 + 1x Solving 23 = 45 + 1x 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. 23 + -1x = 45 + 1x + -1x Combine like terms: 1x + -1x = 0 23 + -1x = 45 + 0 23 + -1x = 45 Add '-23' to each side of the equation. 23 + -23 + -1x = 45 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 45 + -23 -1x = 45 + -23 Combine like terms: 45 + -23 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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