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Simplifying 5(6x + 2) = 6(3x + 3) Reorder the terms: 5(2 + 6x) = 6(3x + 3) (2 * 5 + 6x * 5) = 6(3x + 3) (10 + 30x) = 6(3x + 3) Reorder the terms: 10 + 30x = 6(3 + 3x) 10 + 30x = (3 * 6 + 3x * 6) 10 + 30x = (18 + 18x) Solving 10 + 30x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 10 + 30x + -18x = 18 + 18x + -18x Combine like terms: 30x + -18x = 12x 10 + 12x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 10 + 12x = 18 + 0 10 + 12x = 18 Add '-10' to each side of the equation. 10 + -10 + 12x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 18 + -10 12x = 18 + -10 Combine like terms: 18 + -10 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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