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Simplifying 2x + 43 = 7x + 8 Reorder the terms: 43 + 2x = 7x + 8 Reorder the terms: 43 + 2x = 8 + 7x Solving 43 + 2x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 43 + 2x + -7x = 8 + 7x + -7x Combine like terms: 2x + -7x = -5x 43 + -5x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 43 + -5x = 8 + 0 43 + -5x = 8 Add '-43' to each side of the equation. 43 + -43 + -5x = 8 + -43 Combine like terms: 43 + -43 = 0 0 + -5x = 8 + -43 -5x = 8 + -43 Combine like terms: 8 + -43 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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