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Simplifying 4(x + -4) = 24 + -4x Reorder the terms: 4(-4 + x) = 24 + -4x (-4 * 4 + x * 4) = 24 + -4x (-16 + 4x) = 24 + -4x Solving -16 + 4x = 24 + -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. -16 + 4x + 4x = 24 + -4x + 4x Combine like terms: 4x + 4x = 8x -16 + 8x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 8x = 24 + 0 -16 + 8x = 24 Add '16' to each side of the equation. -16 + 16 + 8x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 24 + 16 8x = 24 + 16 Combine like terms: 24 + 16 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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