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Simplifying 6(x + 1) = -6x + -30 Reorder the terms: 6(1 + x) = -6x + -30 (1 * 6 + x * 6) = -6x + -30 (6 + 6x) = -6x + -30 Reorder the terms: 6 + 6x = -30 + -6x Solving 6 + 6x = -30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + 6x + 6x = -30 + -6x + 6x Combine like terms: 6x + 6x = 12x 6 + 12x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 12x = -30 + 0 6 + 12x = -30 Add '-6' to each side of the equation. 6 + -6 + 12x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -30 + -6 12x = -30 + -6 Combine like terms: -30 + -6 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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