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Simplifying 8x + 10 + -1x = 57 + 5x + 9 Reorder the terms: 10 + 8x + -1x = 57 + 5x + 9 Combine like terms: 8x + -1x = 7x 10 + 7x = 57 + 5x + 9 Reorder the terms: 10 + 7x = 57 + 9 + 5x Combine like terms: 57 + 9 = 66 10 + 7x = 66 + 5x Solving 10 + 7x = 66 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 7x + -5x = 66 + 5x + -5x Combine like terms: 7x + -5x = 2x 10 + 2x = 66 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 2x = 66 + 0 10 + 2x = 66 Add '-10' to each side of the equation. 10 + -10 + 2x = 66 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 66 + -10 2x = 66 + -10 Combine like terms: 66 + -10 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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