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Simplifying 6(2x + 3) = 7(x + 5) Reorder the terms: 6(3 + 2x) = 7(x + 5) (3 * 6 + 2x * 6) = 7(x + 5) (18 + 12x) = 7(x + 5) Reorder the terms: 18 + 12x = 7(5 + x) 18 + 12x = (5 * 7 + x * 7) 18 + 12x = (35 + 7x) Solving 18 + 12x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + 12x + -7x = 35 + 7x + -7x Combine like terms: 12x + -7x = 5x 18 + 5x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + 5x = 35 + 0 18 + 5x = 35 Add '-18' to each side of the equation. 18 + -18 + 5x = 35 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 35 + -18 5x = 35 + -18 Combine like terms: 35 + -18 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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