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Simplifying -1(18 + x) = 2(11 + -6x) + x (18 * -1 + x * -1) = 2(11 + -6x) + x (-18 + -1x) = 2(11 + -6x) + x -18 + -1x = (11 * 2 + -6x * 2) + x -18 + -1x = (22 + -12x) + x Combine like terms: -12x + x = -11x -18 + -1x = 22 + -11x Solving -18 + -1x = 22 + -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. -18 + -1x + 11x = 22 + -11x + 11x Combine like terms: -1x + 11x = 10x -18 + 10x = 22 + -11x + 11x Combine like terms: -11x + 11x = 0 -18 + 10x = 22 + 0 -18 + 10x = 22 Add '18' to each side of the equation. -18 + 18 + 10x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 22 + 18 10x = 22 + 18 Combine like terms: 22 + 18 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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