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Simplifying -6(x + 1) + -12 = 10 + 2 Reorder the terms: -6(1 + x) + -12 = 10 + 2 (1 * -6 + x * -6) + -12 = 10 + 2 (-6 + -6x) + -12 = 10 + 2 Reorder the terms: -6 + -12 + -6x = 10 + 2 Combine like terms: -6 + -12 = -18 -18 + -6x = 10 + 2 Combine like terms: 10 + 2 = 12 -18 + -6x = 12 Solving -18 + -6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -6x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 12 + 18 -6x = 12 + 18 Combine like terms: 12 + 18 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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