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Simplifying -1(x + -12) + 6(x + 2) = 6(x + 11) Reorder the terms: -1(-12 + x) + 6(x + 2) = 6(x + 11) (-12 * -1 + x * -1) + 6(x + 2) = 6(x + 11) (12 + -1x) + 6(x + 2) = 6(x + 11) Reorder the terms: 12 + -1x + 6(2 + x) = 6(x + 11) 12 + -1x + (2 * 6 + x * 6) = 6(x + 11) 12 + -1x + (12 + 6x) = 6(x + 11) Reorder the terms: 12 + 12 + -1x + 6x = 6(x + 11) Combine like terms: 12 + 12 = 24 24 + -1x + 6x = 6(x + 11) Combine like terms: -1x + 6x = 5x 24 + 5x = 6(x + 11) Reorder the terms: 24 + 5x = 6(11 + x) 24 + 5x = (11 * 6 + x * 6) 24 + 5x = (66 + 6x) Solving 24 + 5x = 66 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 5x + -6x = 66 + 6x + -6x Combine like terms: 5x + -6x = -1x 24 + -1x = 66 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -1x = 66 + 0 24 + -1x = 66 Add '-24' to each side of the equation. 24 + -24 + -1x = 66 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 66 + -24 -1x = 66 + -24 Combine like terms: 66 + -24 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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