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Simplifying 2(6x + 1) = 4(5 + -1x) + -2 Reorder the terms: 2(1 + 6x) = 4(5 + -1x) + -2 (1 * 2 + 6x * 2) = 4(5 + -1x) + -2 (2 + 12x) = 4(5 + -1x) + -2 2 + 12x = (5 * 4 + -1x * 4) + -2 2 + 12x = (20 + -4x) + -2 Reorder the terms: 2 + 12x = 20 + -2 + -4x Combine like terms: 20 + -2 = 18 2 + 12x = 18 + -4x Solving 2 + 12x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 12x + 4x = 18 + -4x + 4x Combine like terms: 12x + 4x = 16x 2 + 16x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 16x = 18 + 0 2 + 16x = 18 Add '-2' to each side of the equation. 2 + -2 + 16x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 18 + -2 16x = 18 + -2 Combine like terms: 18 + -2 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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