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Simplifying 5x + 71 = 8x + 10 Reorder the terms: 71 + 5x = 8x + 10 Reorder the terms: 71 + 5x = 10 + 8x Solving 71 + 5x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 71 + 5x + -8x = 10 + 8x + -8x Combine like terms: 5x + -8x = -3x 71 + -3x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 71 + -3x = 10 + 0 71 + -3x = 10 Add '-71' to each side of the equation. 71 + -71 + -3x = 10 + -71 Combine like terms: 71 + -71 = 0 0 + -3x = 10 + -71 -3x = 10 + -71 Combine like terms: 10 + -71 = -61 -3x = -61 Divide each side by '-3'. x = 20.33333333 Simplifying x = 20.33333333
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