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Simplifying 2(3x + 1) + 2x = 12x Reorder the terms: 2(1 + 3x) + 2x = 12x (1 * 2 + 3x * 2) + 2x = 12x (2 + 6x) + 2x = 12x Combine like terms: 6x + 2x = 8x 2 + 8x = 12x Solving 2 + 8x = 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. 2 + 8x + -12x = 12x + -12x Combine like terms: 8x + -12x = -4x 2 + -4x = 12x + -12x Combine like terms: 12x + -12x = 0 2 + -4x = 0 Add '-2' to each side of the equation. 2 + -2 + -4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 0 + -2 -4x = 0 + -2 Combine like terms: 0 + -2 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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