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Simplifying 4(2x + -8 + 4x) = 2x + 16 Reorder the terms: 4(-8 + 2x + 4x) = 2x + 16 Combine like terms: 2x + 4x = 6x 4(-8 + 6x) = 2x + 16 (-8 * 4 + 6x * 4) = 2x + 16 (-32 + 24x) = 2x + 16 Reorder the terms: -32 + 24x = 16 + 2x Solving -32 + 24x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 24x + -2x = 16 + 2x + -2x Combine like terms: 24x + -2x = 22x -32 + 22x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 22x = 16 + 0 -32 + 22x = 16 Add '32' to each side of the equation. -32 + 32 + 22x = 16 + 32 Combine like terms: -32 + 32 = 0 0 + 22x = 16 + 32 22x = 16 + 32 Combine like terms: 16 + 32 = 48 22x = 48 Divide each side by '22'. x = 2.181818182 Simplifying x = 2.181818182
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