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Simplifying 6(3x + 5) = 5(6x + 6) Reorder the terms: 6(5 + 3x) = 5(6x + 6) (5 * 6 + 3x * 6) = 5(6x + 6) (30 + 18x) = 5(6x + 6) Reorder the terms: 30 + 18x = 5(6 + 6x) 30 + 18x = (6 * 5 + 6x * 5) 30 + 18x = (30 + 30x) Add '-30' to each side of the equation. 30 + -30 + 18x = 30 + -30 + 30x Combine like terms: 30 + -30 = 0 0 + 18x = 30 + -30 + 30x 18x = 30 + -30 + 30x Combine like terms: 30 + -30 = 0 18x = 0 + 30x 18x = 30x Solving 18x = 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. 18x + -30x = 30x + -30x Combine like terms: 18x + -30x = -12x -12x = 30x + -30x Combine like terms: 30x + -30x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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