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Simplifying 2(2x + 1) = 6(4x + 2) Reorder the terms: 2(1 + 2x) = 6(4x + 2) (1 * 2 + 2x * 2) = 6(4x + 2) (2 + 4x) = 6(4x + 2) Reorder the terms: 2 + 4x = 6(2 + 4x) 2 + 4x = (2 * 6 + 4x * 6) 2 + 4x = (12 + 24x) Solving 2 + 4x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 2 + 4x + -24x = 12 + 24x + -24x Combine like terms: 4x + -24x = -20x 2 + -20x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 2 + -20x = 12 + 0 2 + -20x = 12 Add '-2' to each side of the equation. 2 + -2 + -20x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -20x = 12 + -2 -20x = 12 + -2 Combine like terms: 12 + -2 = 10 -20x = 10 Divide each side by '-20'. x = -0.5 Simplifying x = -0.5
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