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Simplifying -6(x + 1) + -10 = 30 + 2 Reorder the terms: -6(1 + x) + -10 = 30 + 2 (1 * -6 + x * -6) + -10 = 30 + 2 (-6 + -6x) + -10 = 30 + 2 Reorder the terms: -6 + -10 + -6x = 30 + 2 Combine like terms: -6 + -10 = -16 -16 + -6x = 30 + 2 Combine like terms: 30 + 2 = 32 -16 + -6x = 32 Solving -16 + -6x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -6x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 32 + 16 -6x = 32 + 16 Combine like terms: 32 + 16 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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