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Simplifying -5(x + 4) + 8(x + -4) = -73 Reorder the terms: -5(4 + x) + 8(x + -4) = -73 (4 * -5 + x * -5) + 8(x + -4) = -73 (-20 + -5x) + 8(x + -4) = -73 Reorder the terms: -20 + -5x + 8(-4 + x) = -73 -20 + -5x + (-4 * 8 + x * 8) = -73 -20 + -5x + (-32 + 8x) = -73 Reorder the terms: -20 + -32 + -5x + 8x = -73 Combine like terms: -20 + -32 = -52 -52 + -5x + 8x = -73 Combine like terms: -5x + 8x = 3x -52 + 3x = -73 Solving -52 + 3x = -73 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 3x = -73 + 52 Combine like terms: -52 + 52 = 0 0 + 3x = -73 + 52 3x = -73 + 52 Combine like terms: -73 + 52 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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