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Simplifying 5(x + -11) = 5(10x + 18) Reorder the terms: 5(-11 + x) = 5(10x + 18) (-11 * 5 + x * 5) = 5(10x + 18) (-55 + 5x) = 5(10x + 18) Reorder the terms: -55 + 5x = 5(18 + 10x) -55 + 5x = (18 * 5 + 10x * 5) -55 + 5x = (90 + 50x) Solving -55 + 5x = 90 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -55 + 5x + -50x = 90 + 50x + -50x Combine like terms: 5x + -50x = -45x -55 + -45x = 90 + 50x + -50x Combine like terms: 50x + -50x = 0 -55 + -45x = 90 + 0 -55 + -45x = 90 Add '55' to each side of the equation. -55 + 55 + -45x = 90 + 55 Combine like terms: -55 + 55 = 0 0 + -45x = 90 + 55 -45x = 90 + 55 Combine like terms: 90 + 55 = 145 -45x = 145 Divide each side by '-45'. x = -3.222222222 Simplifying x = -3.222222222
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