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Simplifying -5(4x + 1) + 4(3x + 4) = 3 Reorder the terms: -5(1 + 4x) + 4(3x + 4) = 3 (1 * -5 + 4x * -5) + 4(3x + 4) = 3 (-5 + -20x) + 4(3x + 4) = 3 Reorder the terms: -5 + -20x + 4(4 + 3x) = 3 -5 + -20x + (4 * 4 + 3x * 4) = 3 -5 + -20x + (16 + 12x) = 3 Reorder the terms: -5 + 16 + -20x + 12x = 3 Combine like terms: -5 + 16 = 11 11 + -20x + 12x = 3 Combine like terms: -20x + 12x = -8x 11 + -8x = 3 Solving 11 + -8x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 3 + -11 -8x = 3 + -11 Combine like terms: 3 + -11 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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