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Simplifying 6(x + 1) = 12x + -12 Reorder the terms: 6(1 + x) = 12x + -12 (1 * 6 + x * 6) = 12x + -12 (6 + 6x) = 12x + -12 Reorder the terms: 6 + 6x = -12 + 12x Solving 6 + 6x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 6x + -12x = -12 + 12x + -12x Combine like terms: 6x + -12x = -6x 6 + -6x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -6x = -12 + 0 6 + -6x = -12 Add '-6' to each side of the equation. 6 + -6 + -6x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -12 + -6 -6x = -12 + -6 Combine like terms: -12 + -6 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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