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Simplifying 5(x + -8) + -1(4x + -8) = -8 Reorder the terms: 5(-8 + x) + -1(4x + -8) = -8 (-8 * 5 + x * 5) + -1(4x + -8) = -8 (-40 + 5x) + -1(4x + -8) = -8 Reorder the terms: -40 + 5x + -1(-8 + 4x) = -8 -40 + 5x + (-8 * -1 + 4x * -1) = -8 -40 + 5x + (8 + -4x) = -8 Reorder the terms: -40 + 8 + 5x + -4x = -8 Combine like terms: -40 + 8 = -32 -32 + 5x + -4x = -8 Combine like terms: 5x + -4x = 1x -32 + 1x = -8 Solving -32 + 1x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -8 + 32 1x = -8 + 32 Combine like terms: -8 + 32 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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