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Simplifying -1(12 + x) = 2(11 + -6x) + x (12 * -1 + x * -1) = 2(11 + -6x) + x (-12 + -1x) = 2(11 + -6x) + x -12 + -1x = (11 * 2 + -6x * 2) + x -12 + -1x = (22 + -12x) + x Combine like terms: -12x + x = -11x -12 + -1x = 22 + -11x Solving -12 + -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. -12 + -1x + 11x = 22 + -11x + 11x Combine like terms: -1x + 11x = 10x -12 + 10x = 22 + -11x + 11x Combine like terms: -11x + 11x = 0 -12 + 10x = 22 + 0 -12 + 10x = 22 Add '12' to each side of the equation. -12 + 12 + 10x = 22 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 22 + 12 10x = 22 + 12 Combine like terms: 22 + 12 = 34 10x = 34 Divide each side by '10'. x = 3.4 Simplifying x = 3.4
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