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Simplifying 2(3x + 2) = 5(12x + 8) Reorder the terms: 2(2 + 3x) = 5(12x + 8) (2 * 2 + 3x * 2) = 5(12x + 8) (4 + 6x) = 5(12x + 8) Reorder the terms: 4 + 6x = 5(8 + 12x) 4 + 6x = (8 * 5 + 12x * 5) 4 + 6x = (40 + 60x) Solving 4 + 6x = 40 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 4 + 6x + -60x = 40 + 60x + -60x Combine like terms: 6x + -60x = -54x 4 + -54x = 40 + 60x + -60x Combine like terms: 60x + -60x = 0 4 + -54x = 40 + 0 4 + -54x = 40 Add '-4' to each side of the equation. 4 + -4 + -54x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -54x = 40 + -4 -54x = 40 + -4 Combine like terms: 40 + -4 = 36 -54x = 36 Divide each side by '-54'. x = -0.6666666667 Simplifying x = -0.6666666667
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