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Simplifying 3(4x + 2) + -5(x + -4) = 4x + 14 + x Reorder the terms: 3(2 + 4x) + -5(x + -4) = 4x + 14 + x (2 * 3 + 4x * 3) + -5(x + -4) = 4x + 14 + x (6 + 12x) + -5(x + -4) = 4x + 14 + x Reorder the terms: 6 + 12x + -5(-4 + x) = 4x + 14 + x 6 + 12x + (-4 * -5 + x * -5) = 4x + 14 + x 6 + 12x + (20 + -5x) = 4x + 14 + x Reorder the terms: 6 + 20 + 12x + -5x = 4x + 14 + x Combine like terms: 6 + 20 = 26 26 + 12x + -5x = 4x + 14 + x Combine like terms: 12x + -5x = 7x 26 + 7x = 4x + 14 + x Reorder the terms: 26 + 7x = 14 + 4x + x Combine like terms: 4x + x = 5x 26 + 7x = 14 + 5x Solving 26 + 7x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 26 + 7x + -5x = 14 + 5x + -5x Combine like terms: 7x + -5x = 2x 26 + 2x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + 2x = 14 + 0 26 + 2x = 14 Add '-26' to each side of the equation. 26 + -26 + 2x = 14 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 14 + -26 2x = 14 + -26 Combine like terms: 14 + -26 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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