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Simplifying -2x + -4(2 + -3x) = 4(x + -5) + -24 -2x + (2 * -4 + -3x * -4) = 4(x + -5) + -24 -2x + (-8 + 12x) = 4(x + -5) + -24 Reorder the terms: -8 + -2x + 12x = 4(x + -5) + -24 Combine like terms: -2x + 12x = 10x -8 + 10x = 4(x + -5) + -24 Reorder the terms: -8 + 10x = 4(-5 + x) + -24 -8 + 10x = (-5 * 4 + x * 4) + -24 -8 + 10x = (-20 + 4x) + -24 Reorder the terms: -8 + 10x = -20 + -24 + 4x Combine like terms: -20 + -24 = -44 -8 + 10x = -44 + 4x Solving -8 + 10x = -44 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 10x + -4x = -44 + 4x + -4x Combine like terms: 10x + -4x = 6x -8 + 6x = -44 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 6x = -44 + 0 -8 + 6x = -44 Add '8' to each side of the equation. -8 + 8 + 6x = -44 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -44 + 8 6x = -44 + 8 Combine like terms: -44 + 8 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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