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Simplifying 5(4x + 1) + -2(4x + 7) = 3 Reorder the terms: 5(1 + 4x) + -2(4x + 7) = 3 (1 * 5 + 4x * 5) + -2(4x + 7) = 3 (5 + 20x) + -2(4x + 7) = 3 Reorder the terms: 5 + 20x + -2(7 + 4x) = 3 5 + 20x + (7 * -2 + 4x * -2) = 3 5 + 20x + (-14 + -8x) = 3 Reorder the terms: 5 + -14 + 20x + -8x = 3 Combine like terms: 5 + -14 = -9 -9 + 20x + -8x = 3 Combine like terms: 20x + -8x = 12x -9 + 12x = 3 Solving -9 + 12x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 12x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 3 + 9 12x = 3 + 9 Combine like terms: 3 + 9 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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