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Simplifying 4(3x + 1) + 7(x + -4) = 14 Reorder the terms: 4(1 + 3x) + 7(x + -4) = 14 (1 * 4 + 3x * 4) + 7(x + -4) = 14 (4 + 12x) + 7(x + -4) = 14 Reorder the terms: 4 + 12x + 7(-4 + x) = 14 4 + 12x + (-4 * 7 + x * 7) = 14 4 + 12x + (-28 + 7x) = 14 Reorder the terms: 4 + -28 + 12x + 7x = 14 Combine like terms: 4 + -28 = -24 -24 + 12x + 7x = 14 Combine like terms: 12x + 7x = 19x -24 + 19x = 14 Solving -24 + 19x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 19x = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 19x = 14 + 24 19x = 14 + 24 Combine like terms: 14 + 24 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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