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Simplifying 4(4x + -6) = 8x + 16 Reorder the terms: 4(-6 + 4x) = 8x + 16 (-6 * 4 + 4x * 4) = 8x + 16 (-24 + 16x) = 8x + 16 Reorder the terms: -24 + 16x = 16 + 8x Solving -24 + 16x = 16 + 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. -24 + 16x + -8x = 16 + 8x + -8x Combine like terms: 16x + -8x = 8x -24 + 8x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 8x = 16 + 0 -24 + 8x = 16 Add '24' to each side of the equation. -24 + 24 + 8x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 16 + 24 8x = 16 + 24 Combine like terms: 16 + 24 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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