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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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