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Simplifying 2x + 8 = 7x + 43 Reorder the terms: 8 + 2x = 7x + 43 Reorder the terms: 8 + 2x = 43 + 7x Solving 8 + 2x = 43 + 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. 8 + 2x + -7x = 43 + 7x + -7x Combine like terms: 2x + -7x = -5x 8 + -5x = 43 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -5x = 43 + 0 8 + -5x = 43 Add '-8' to each side of the equation. 8 + -8 + -5x = 43 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 43 + -8 -5x = 43 + -8 Combine like terms: 43 + -8 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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