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Simplifying 5(2x + -4) + -4(3x + 8) = -40 Reorder the terms: 5(-4 + 2x) + -4(3x + 8) = -40 (-4 * 5 + 2x * 5) + -4(3x + 8) = -40 (-20 + 10x) + -4(3x + 8) = -40 Reorder the terms: -20 + 10x + -4(8 + 3x) = -40 -20 + 10x + (8 * -4 + 3x * -4) = -40 -20 + 10x + (-32 + -12x) = -40 Reorder the terms: -20 + -32 + 10x + -12x = -40 Combine like terms: -20 + -32 = -52 -52 + 10x + -12x = -40 Combine like terms: 10x + -12x = -2x -52 + -2x = -40 Solving -52 + -2x = -40 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 + -2x = -40 + 52 Combine like terms: -52 + 52 = 0 0 + -2x = -40 + 52 -2x = -40 + 52 Combine like terms: -40 + 52 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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