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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 = -105 1x = -105 Divide each side by '1'. x = -105 Simplifying x = -105
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