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Simplifying 3(5x + 4) = 6(x + 2) Reorder the terms: 3(4 + 5x) = 6(x + 2) (4 * 3 + 5x * 3) = 6(x + 2) (12 + 15x) = 6(x + 2) Reorder the terms: 12 + 15x = 6(2 + x) 12 + 15x = (2 * 6 + x * 6) 12 + 15x = (12 + 6x) Add '-12' to each side of the equation. 12 + -12 + 15x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 0 + 15x = 12 + -12 + 6x 15x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 15x = 0 + 6x 15x = 6x Solving 15x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15x + -6x = 6x + -6x Combine like terms: 15x + -6x = 9x 9x = 6x + -6x Combine like terms: 6x + -6x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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