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Simplifying 2(1 + 6x) + 2(3 + -6x) = 7x + -5x (1 * 2 + 6x * 2) + 2(3 + -6x) = 7x + -5x (2 + 12x) + 2(3 + -6x) = 7x + -5x 2 + 12x + (3 * 2 + -6x * 2) = 7x + -5x 2 + 12x + (6 + -12x) = 7x + -5x Reorder the terms: 2 + 6 + 12x + -12x = 7x + -5x Combine like terms: 2 + 6 = 8 8 + 12x + -12x = 7x + -5x Combine like terms: 12x + -12x = 0 8 + 0 = 7x + -5x 8 = 7x + -5x Combine like terms: 7x + -5x = 2x 8 = 2x Solving 8 = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 8 + -2x = 0 Add '-8' to each side of the equation. 8 + -8 + -2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 0 + -8 -2x = 0 + -8 Combine like terms: 0 + -8 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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