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Simplifying -1(x + -12) + (x + 2) = 6x + -54 Reorder the terms: -1(-12 + x) + (x + 2) = 6x + -54 (-12 * -1 + x * -1) + (x + 2) = 6x + -54 (12 + -1x) + (x + 2) = 6x + -54 Reorder the terms: 12 + -1x + (2 + x) = 6x + -54 Remove parenthesis around (2 + x) 12 + -1x + 2 + x = 6x + -54 Reorder the terms: 12 + 2 + -1x + x = 6x + -54 Combine like terms: 12 + 2 = 14 14 + -1x + x = 6x + -54 Combine like terms: -1x + x = 0 14 + 0 = 6x + -54 14 = 6x + -54 Reorder the terms: 14 = -54 + 6x Solving 14 = -54 + 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. 14 + -6x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -6x = -54 + 0 14 + -6x = -54 Add '-14' to each side of the equation. 14 + -14 + -6x = -54 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -54 + -14 -6x = -54 + -14 Combine like terms: -54 + -14 = -68 -6x = -68 Divide each side by '-6'. x = 11.33333333 Simplifying x = 11.33333333
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