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Simplifying 5(x + -11) + -6x = -11x Reorder the terms: 5(-11 + x) + -6x = -11x (-11 * 5 + x * 5) + -6x = -11x (-55 + 5x) + -6x = -11x Combine like terms: 5x + -6x = -1x -55 + -1x = -11x Solving -55 + -1x = -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -55 + -1x + 11x = -11x + 11x Combine like terms: -1x + 11x = 10x -55 + 10x = -11x + 11x Combine like terms: -11x + 11x = 0 -55 + 10x = 0 Add '55' to each side of the equation. -55 + 55 + 10x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 10x = 0 + 55 10x = 0 + 55 Combine like terms: 0 + 55 = 55 10x = 55 Divide each side by '10'. x = 5.5 Simplifying x = 5.5
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