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Simplifying 1x + 45 = 2x + 34 Reorder the terms: 45 + 1x = 2x + 34 Reorder the terms: 45 + 1x = 34 + 2x Solving 45 + 1x = 34 + 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. 45 + 1x + -2x = 34 + 2x + -2x Combine like terms: 1x + -2x = -1x 45 + -1x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -1x = 34 + 0 45 + -1x = 34 Add '-45' to each side of the equation. 45 + -45 + -1x = 34 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 34 + -45 -1x = 34 + -45 Combine like terms: 34 + -45 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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