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Simplifying -24 + -5x = -2(x + 4) + 8 Reorder the terms: -24 + -5x = -2(4 + x) + 8 -24 + -5x = (4 * -2 + x * -2) + 8 -24 + -5x = (-8 + -2x) + 8 Reorder the terms: -24 + -5x = -8 + 8 + -2x Combine like terms: -8 + 8 = 0 -24 + -5x = 0 + -2x -24 + -5x = -2x Solving -24 + -5x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + -5x + 2x = -2x + 2x Combine like terms: -5x + 2x = -3x -24 + -3x = -2x + 2x Combine like terms: -2x + 2x = 0 -24 + -3x = 0 Add '24' to each side of the equation. -24 + 24 + -3x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 0 + 24 -3x = 0 + 24 Combine like terms: 0 + 24 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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