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Simplifying 11x + -8 = 10(x + 5) + 10 Reorder the terms: -8 + 11x = 10(x + 5) + 10 Reorder the terms: -8 + 11x = 10(5 + x) + 10 -8 + 11x = (5 * 10 + x * 10) + 10 -8 + 11x = (50 + 10x) + 10 Reorder the terms: -8 + 11x = 50 + 10 + 10x Combine like terms: 50 + 10 = 60 -8 + 11x = 60 + 10x Solving -8 + 11x = 60 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 11x + -10x = 60 + 10x + -10x Combine like terms: 11x + -10x = 1x -8 + 1x = 60 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 1x = 60 + 0 -8 + 1x = 60 Add '8' to each side of the equation. -8 + 8 + 1x = 60 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 60 + 8 1x = 60 + 8 Combine like terms: 60 + 8 = 68 1x = 68 Divide each side by '1'. x = 68 Simplifying x = 68
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