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Simplifying 11(x + -8) = 10(x + 8) Reorder the terms: 11(-8 + x) = 10(x + 8) (-8 * 11 + x * 11) = 10(x + 8) (-88 + 11x) = 10(x + 8) Reorder the terms: -88 + 11x = 10(8 + x) -88 + 11x = (8 * 10 + x * 10) -88 + 11x = (80 + 10x) Solving -88 + 11x = 80 + 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. -88 + 11x + -10x = 80 + 10x + -10x Combine like terms: 11x + -10x = 1x -88 + 1x = 80 + 10x + -10x Combine like terms: 10x + -10x = 0 -88 + 1x = 80 + 0 -88 + 1x = 80 Add '88' to each side of the equation. -88 + 88 + 1x = 80 + 88 Combine like terms: -88 + 88 = 0 0 + 1x = 80 + 88 1x = 80 + 88 Combine like terms: 80 + 88 = 168 1x = 168 Divide each side by '1'. x = 168 Simplifying x = 168
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