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Simplifying 3(5 + 3x) = 6(5 + 5x) (5 * 3 + 3x * 3) = 6(5 + 5x) (15 + 9x) = 6(5 + 5x) 15 + 9x = (5 * 6 + 5x * 6) 15 + 9x = (30 + 30x) Solving 15 + 9x = 30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 15 + 9x + -30x = 30 + 30x + -30x Combine like terms: 9x + -30x = -21x 15 + -21x = 30 + 30x + -30x Combine like terms: 30x + -30x = 0 15 + -21x = 30 + 0 15 + -21x = 30 Add '-15' to each side of the equation. 15 + -15 + -21x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = 30 + -15 -21x = 30 + -15 Combine like terms: 30 + -15 = 15 -21x = 15 Divide each side by '-21'. x = -0.7142857143 Simplifying x = -0.7142857143
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