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Simplifying 3x + -43 = 2x + 10 Reorder the terms: -43 + 3x = 2x + 10 Reorder the terms: -43 + 3x = 10 + 2x Solving -43 + 3x = 10 + 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. -43 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -43 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 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 = 53 1x = 53 Divide each side by '1'. x = 53 Simplifying x = 53
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