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Simplifying 7(x + 2) + -1(-6x + -6) = 12x Reorder the terms: 7(2 + x) + -1(-6x + -6) = 12x (2 * 7 + x * 7) + -1(-6x + -6) = 12x (14 + 7x) + -1(-6x + -6) = 12x Reorder the terms: 14 + 7x + -1(-6 + -6x) = 12x 14 + 7x + (-6 * -1 + -6x * -1) = 12x 14 + 7x + (6 + 6x) = 12x Reorder the terms: 14 + 6 + 7x + 6x = 12x Combine like terms: 14 + 6 = 20 20 + 7x + 6x = 12x Combine like terms: 7x + 6x = 13x 20 + 13x = 12x Solving 20 + 13x = 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. 20 + 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x 20 + 1x = 12x + -12x Combine like terms: 12x + -12x = 0 20 + 1x = 0 Add '-20' to each side of the equation. 20 + -20 + 1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 0 + -20 1x = 0 + -20 Combine like terms: 0 + -20 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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