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Simplifying -5(4 + 4x) + 8(x + -8) = -48 (4 * -5 + 4x * -5) + 8(x + -8) = -48 (-20 + -20x) + 8(x + -8) = -48 Reorder the terms: -20 + -20x + 8(-8 + x) = -48 -20 + -20x + (-8 * 8 + x * 8) = -48 -20 + -20x + (-64 + 8x) = -48 Reorder the terms: -20 + -64 + -20x + 8x = -48 Combine like terms: -20 + -64 = -84 -84 + -20x + 8x = -48 Combine like terms: -20x + 8x = -12x -84 + -12x = -48 Solving -84 + -12x = -48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -12x = -48 + 84 Combine like terms: -84 + 84 = 0 0 + -12x = -48 + 84 -12x = -48 + 84 Combine like terms: -48 + 84 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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