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Simplifying 4(2x + -6) + 2x = 5x + 16 Reorder the terms: 4(-6 + 2x) + 2x = 5x + 16 (-6 * 4 + 2x * 4) + 2x = 5x + 16 (-24 + 8x) + 2x = 5x + 16 Combine like terms: 8x + 2x = 10x -24 + 10x = 5x + 16 Reorder the terms: -24 + 10x = 16 + 5x Solving -24 + 10x = 16 + 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. -24 + 10x + -5x = 16 + 5x + -5x Combine like terms: 10x + -5x = 5x -24 + 5x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 5x = 16 + 0 -24 + 5x = 16 Add '24' to each side of the equation. -24 + 24 + 5x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 16 + 24 5x = 16 + 24 Combine like terms: 16 + 24 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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