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Simplifying -6(x + 9) + -42 = 1 + -49 Reorder the terms: -6(9 + x) + -42 = 1 + -49 (9 * -6 + x * -6) + -42 = 1 + -49 (-54 + -6x) + -42 = 1 + -49 Reorder the terms: -54 + -42 + -6x = 1 + -49 Combine like terms: -54 + -42 = -96 -96 + -6x = 1 + -49 Combine like terms: 1 + -49 = -48 -96 + -6x = -48 Solving -96 + -6x = -48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + -6x = -48 + 96 Combine like terms: -96 + 96 = 0 0 + -6x = -48 + 96 -6x = -48 + 96 Combine like terms: -48 + 96 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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