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Simplifying 8 + 5x = -2x + 71 Reorder the terms: 8 + 5x = 71 + -2x Solving 8 + 5x = 71 + -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 = 71 + -2x + 2x Combine like terms: 5x + 2x = 7x 8 + 7x = 71 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 7x = 71 + 0 8 + 7x = 71 Add '-8' to each side of the equation. 8 + -8 + 7x = 71 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 71 + -8 7x = 71 + -8 Combine like terms: 71 + -8 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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