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