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Simplifying 2x + 5(-2x + -8) = 24 Reorder the terms: 2x + 5(-8 + -2x) = 24 2x + (-8 * 5 + -2x * 5) = 24 2x + (-40 + -10x) = 24 Reorder the terms: -40 + 2x + -10x = 24 Combine like terms: 2x + -10x = -8x -40 + -8x = 24 Solving -40 + -8x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -8x = 24 + 40 Combine like terms: -40 + 40 = 0 0 + -8x = 24 + 40 -8x = 24 + 40 Combine like terms: 24 + 40 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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