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Simplifying 5(4x + -3) + -1(5 + 8x) = -14 Reorder the terms: 5(-3 + 4x) + -1(5 + 8x) = -14 (-3 * 5 + 4x * 5) + -1(5 + 8x) = -14 (-15 + 20x) + -1(5 + 8x) = -14 -15 + 20x + (5 * -1 + 8x * -1) = -14 -15 + 20x + (-5 + -8x) = -14 Reorder the terms: -15 + -5 + 20x + -8x = -14 Combine like terms: -15 + -5 = -20 -20 + 20x + -8x = -14 Combine like terms: 20x + -8x = 12x -20 + 12x = -14 Solving -20 + 12x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 12x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = -14 + 20 12x = -14 + 20 Combine like terms: -14 + 20 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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