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Simplifying 14 + -2(5 + -7x) = 3(9 + 4x) + -17 14 + (5 * -2 + -7x * -2) = 3(9 + 4x) + -17 14 + (-10 + 14x) = 3(9 + 4x) + -17 Combine like terms: 14 + -10 = 4 4 + 14x = 3(9 + 4x) + -17 4 + 14x = (9 * 3 + 4x * 3) + -17 4 + 14x = (27 + 12x) + -17 Reorder the terms: 4 + 14x = 27 + -17 + 12x Combine like terms: 27 + -17 = 10 4 + 14x = 10 + 12x Solving 4 + 14x = 10 + 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. 4 + 14x + -12x = 10 + 12x + -12x Combine like terms: 14x + -12x = 2x 4 + 2x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 2x = 10 + 0 4 + 2x = 10 Add '-4' to each side of the equation. 4 + -4 + 2x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 10 + -4 2x = 10 + -4 Combine like terms: 10 + -4 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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