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Simplifying 6(5 + x) = 3(3x + 10) (5 * 6 + x * 6) = 3(3x + 10) (30 + 6x) = 3(3x + 10) Reorder the terms: 30 + 6x = 3(10 + 3x) 30 + 6x = (10 * 3 + 3x * 3) 30 + 6x = (30 + 9x) Add '-30' to each side of the equation. 30 + -30 + 6x = 30 + -30 + 9x Combine like terms: 30 + -30 = 0 0 + 6x = 30 + -30 + 9x 6x = 30 + -30 + 9x Combine like terms: 30 + -30 = 0 6x = 0 + 9x 6x = 9x Solving 6x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6x + -9x = 9x + -9x Combine like terms: 6x + -9x = -3x -3x = 9x + -9x Combine like terms: 9x + -9x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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