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Simplifying 4(x + -5) = 8x + -24 Reorder the terms: 4(-5 + x) = 8x + -24 (-5 * 4 + x * 4) = 8x + -24 (-20 + 4x) = 8x + -24 Reorder the terms: -20 + 4x = -24 + 8x Solving -20 + 4x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 4x + -8x = -24 + 8x + -8x Combine like terms: 4x + -8x = -4x -20 + -4x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -4x = -24 + 0 -20 + -4x = -24 Add '20' to each side of the equation. -20 + 20 + -4x = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -24 + 20 -4x = -24 + 20 Combine like terms: -24 + 20 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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