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Simplifying 5x + 5(x + -11) = 5(x + -10) Reorder the terms: 5x + 5(-11 + x) = 5(x + -10) 5x + (-11 * 5 + x * 5) = 5(x + -10) 5x + (-55 + 5x) = 5(x + -10) Reorder the terms: -55 + 5x + 5x = 5(x + -10) Combine like terms: 5x + 5x = 10x -55 + 10x = 5(x + -10) Reorder the terms: -55 + 10x = 5(-10 + x) -55 + 10x = (-10 * 5 + x * 5) -55 + 10x = (-50 + 5x) Solving -55 + 10x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -55 + 10x + -5x = -50 + 5x + -5x Combine like terms: 10x + -5x = 5x -55 + 5x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 -55 + 5x = -50 + 0 -55 + 5x = -50 Add '55' to each side of the equation. -55 + 55 + 5x = -50 + 55 Combine like terms: -55 + 55 = 0 0 + 5x = -50 + 55 5x = -50 + 55 Combine like terms: -50 + 55 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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