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Simplifying 6(5x + 3) = 3(x + 2) Reorder the terms: 6(3 + 5x) = 3(x + 2) (3 * 6 + 5x * 6) = 3(x + 2) (18 + 30x) = 3(x + 2) Reorder the terms: 18 + 30x = 3(2 + x) 18 + 30x = (2 * 3 + x * 3) 18 + 30x = (6 + 3x) Solving 18 + 30x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 30x + -3x = 6 + 3x + -3x Combine like terms: 30x + -3x = 27x 18 + 27x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 27x = 6 + 0 18 + 27x = 6 Add '-18' to each side of the equation. 18 + -18 + 27x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 27x = 6 + -18 27x = 6 + -18 Combine like terms: 6 + -18 = -12 27x = -12 Divide each side by '27'. x = -0.4444444444 Simplifying x = -0.4444444444
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