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Simplifying -6(x + 3) + -12 = 17 + 7 Reorder the terms: -6(3 + x) + -12 = 17 + 7 (3 * -6 + x * -6) + -12 = 17 + 7 (-18 + -6x) + -12 = 17 + 7 Reorder the terms: -18 + -12 + -6x = 17 + 7 Combine like terms: -18 + -12 = -30 -30 + -6x = 17 + 7 Combine like terms: 17 + 7 = 24 -30 + -6x = 24 Solving -30 + -6x = 24 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 = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -6x = 24 + 30 -6x = 24 + 30 Combine like terms: 24 + 30 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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