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Simplifying 3(5 + 3x) = 6(5 + 3x) (5 * 3 + 3x * 3) = 6(5 + 3x) (15 + 9x) = 6(5 + 3x) 15 + 9x = (5 * 6 + 3x * 6) 15 + 9x = (30 + 18x) Solving 15 + 9x = 30 + 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. 15 + 9x + -18x = 30 + 18x + -18x Combine like terms: 9x + -18x = -9x 15 + -9x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -9x = 30 + 0 15 + -9x = 30 Add '-15' to each side of the equation. 15 + -15 + -9x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 30 + -15 -9x = 30 + -15 Combine like terms: 30 + -15 = 15 -9x = 15 Divide each side by '-9'. x = -1.666666667 Simplifying x = -1.666666667
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