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Simplifying 2x + 43 = 3x + 10 Reorder the terms: 43 + 2x = 3x + 10 Reorder the terms: 43 + 2x = 10 + 3x Solving 43 + 2x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 43 + 2x + -3x = 10 + 3x + -3x Combine like terms: 2x + -3x = -1x 43 + -1x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 43 + -1x = 10 + 0 43 + -1x = 10 Add '-43' to each side of the equation. 43 + -43 + -1x = 10 + -43 Combine like terms: 43 + -43 = 0 0 + -1x = 10 + -43 -1x = 10 + -43 Combine like terms: 10 + -43 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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