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Simplifying -6(x + 3) + -12 = 17 + 1 Reorder the terms: -6(3 + x) + -12 = 17 + 1 (3 * -6 + x * -6) + -12 = 17 + 1 (-18 + -6x) + -12 = 17 + 1 Reorder the terms: -18 + -12 + -6x = 17 + 1 Combine like terms: -18 + -12 = -30 -30 + -6x = 17 + 1 Combine like terms: 17 + 1 = 18 -30 + -6x = 18 Solving -30 + -6x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -6x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -6x = 18 + 30 -6x = 18 + 30 Combine like terms: 18 + 30 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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