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Simplifying 11(x + 5) = 10(x + 5) Reorder the terms: 11(5 + x) = 10(x + 5) (5 * 11 + x * 11) = 10(x + 5) (55 + 11x) = 10(x + 5) Reorder the terms: 55 + 11x = 10(5 + x) 55 + 11x = (5 * 10 + x * 10) 55 + 11x = (50 + 10x) Solving 55 + 11x = 50 + 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. 55 + 11x + -10x = 50 + 10x + -10x Combine like terms: 11x + -10x = 1x 55 + 1x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 55 + 1x = 50 + 0 55 + 1x = 50 Add '-55' to each side of the equation. 55 + -55 + 1x = 50 + -55 Combine like terms: 55 + -55 = 0 0 + 1x = 50 + -55 1x = 50 + -55 Combine like terms: 50 + -55 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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