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Simplifying 3(14 + 7x) = 3(4x + 5) (14 * 3 + 7x * 3) = 3(4x + 5) (42 + 21x) = 3(4x + 5) Reorder the terms: 42 + 21x = 3(5 + 4x) 42 + 21x = (5 * 3 + 4x * 3) 42 + 21x = (15 + 12x) Solving 42 + 21x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 21x + -12x = 15 + 12x + -12x Combine like terms: 21x + -12x = 9x 42 + 9x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + 9x = 15 + 0 42 + 9x = 15 Add '-42' to each side of the equation. 42 + -42 + 9x = 15 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = 15 + -42 9x = 15 + -42 Combine like terms: 15 + -42 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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