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Simplifying 3(7x + 6) = 10x + 18 + 5x + 12 Reorder the terms: 3(6 + 7x) = 10x + 18 + 5x + 12 (6 * 3 + 7x * 3) = 10x + 18 + 5x + 12 (18 + 21x) = 10x + 18 + 5x + 12 Reorder the terms: 18 + 21x = 18 + 12 + 10x + 5x Combine like terms: 18 + 12 = 30 18 + 21x = 30 + 10x + 5x Combine like terms: 10x + 5x = 15x 18 + 21x = 30 + 15x Solving 18 + 21x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 21x + -15x = 30 + 15x + -15x Combine like terms: 21x + -15x = 6x 18 + 6x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + 6x = 30 + 0 18 + 6x = 30 Add '-18' to each side of the equation. 18 + -18 + 6x = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 30 + -18 6x = 30 + -18 Combine like terms: 30 + -18 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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