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Simplifying -6(x + 9) + -42 = 1 + -61 Reorder the terms: -6(9 + x) + -42 = 1 + -61 (9 * -6 + x * -6) + -42 = 1 + -61 (-54 + -6x) + -42 = 1 + -61 Reorder the terms: -54 + -42 + -6x = 1 + -61 Combine like terms: -54 + -42 = -96 -96 + -6x = 1 + -61 Combine like terms: 1 + -61 = -60 -96 + -6x = -60 Solving -96 + -6x = -60 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 = -60 + 96 Combine like terms: -96 + 96 = 0 0 + -6x = -60 + 96 -6x = -60 + 96 Combine like terms: -60 + 96 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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