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Simplifying 3(2x + 6) = 2(4x + 10) + 4x Reorder the terms: 3(6 + 2x) = 2(4x + 10) + 4x (6 * 3 + 2x * 3) = 2(4x + 10) + 4x (18 + 6x) = 2(4x + 10) + 4x Reorder the terms: 18 + 6x = 2(10 + 4x) + 4x 18 + 6x = (10 * 2 + 4x * 2) + 4x 18 + 6x = (20 + 8x) + 4x Combine like terms: 8x + 4x = 12x 18 + 6x = 20 + 12x Solving 18 + 6x = 20 + 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. 18 + 6x + -12x = 20 + 12x + -12x Combine like terms: 6x + -12x = -6x 18 + -6x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -6x = 20 + 0 18 + -6x = 20 Add '-18' to each side of the equation. 18 + -18 + -6x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 20 + -18 -6x = 20 + -18 Combine like terms: 20 + -18 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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