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Simplifying -6(4x + 4) = 3(x + -8) + 2x Reorder the terms: -6(4 + 4x) = 3(x + -8) + 2x (4 * -6 + 4x * -6) = 3(x + -8) + 2x (-24 + -24x) = 3(x + -8) + 2x Reorder the terms: -24 + -24x = 3(-8 + x) + 2x -24 + -24x = (-8 * 3 + x * 3) + 2x -24 + -24x = (-24 + 3x) + 2x Combine like terms: 3x + 2x = 5x -24 + -24x = -24 + 5x Add '24' to each side of the equation. -24 + 24 + -24x = -24 + 24 + 5x Combine like terms: -24 + 24 = 0 0 + -24x = -24 + 24 + 5x -24x = -24 + 24 + 5x Combine like terms: -24 + 24 = 0 -24x = 0 + 5x -24x = 5x Solving -24x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24x + -5x = 5x + -5x Combine like terms: -24x + -5x = -29x -29x = 5x + -5x Combine like terms: 5x + -5x = 0 -29x = 0 Divide each side by '-29'. x = 0 Simplifying x = 0
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