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Simplifying 35 + 3x = 45 + 2x Solving 35 + 3x = 45 + 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. 35 + 3x + -2x = 45 + 2x + -2x Combine like terms: 3x + -2x = 1x 35 + 1x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + 1x = 45 + 0 35 + 1x = 45 Add '-35' to each side of the equation. 35 + -35 + 1x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 45 + -35 1x = 45 + -35 Combine like terms: 45 + -35 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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