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Simplifying 3(4x + 1) + 5(x + -4) = 0 Reorder the terms: 3(1 + 4x) + 5(x + -4) = 0 (1 * 3 + 4x * 3) + 5(x + -4) = 0 (3 + 12x) + 5(x + -4) = 0 Reorder the terms: 3 + 12x + 5(-4 + x) = 0 3 + 12x + (-4 * 5 + x * 5) = 0 3 + 12x + (-20 + 5x) = 0 Reorder the terms: 3 + -20 + 12x + 5x = 0 Combine like terms: 3 + -20 = -17 -17 + 12x + 5x = 0 Combine like terms: 12x + 5x = 17x -17 + 17x = 0 Solving -17 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 17x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = 0 + 17 17x = 0 + 17 Combine like terms: 0 + 17 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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