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Simplifying -6(x + 1) + -2 = 32 + 4 Reorder the terms: -6(1 + x) + -2 = 32 + 4 (1 * -6 + x * -6) + -2 = 32 + 4 (-6 + -6x) + -2 = 32 + 4 Reorder the terms: -6 + -2 + -6x = 32 + 4 Combine like terms: -6 + -2 = -8 -8 + -6x = 32 + 4 Combine like terms: 32 + 4 = 36 -8 + -6x = 36 Solving -8 + -6x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -6x = 36 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 36 + 8 -6x = 36 + 8 Combine like terms: 36 + 8 = 44 -6x = 44 Divide each side by '-6'. x = -7.333333333 Simplifying x = -7.333333333
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