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Simplifying 4(2x + -8) = 2x + 4 Reorder the terms: 4(-8 + 2x) = 2x + 4 (-8 * 4 + 2x * 4) = 2x + 4 (-32 + 8x) = 2x + 4 Reorder the terms: -32 + 8x = 4 + 2x Solving -32 + 8x = 4 + 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 + 8x + -2x = 4 + 2x + -2x Combine like terms: 8x + -2x = 6x -32 + 6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 6x = 4 + 0 -32 + 6x = 4 Add '32' to each side of the equation. -32 + 32 + 6x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 4 + 32 6x = 4 + 32 Combine like terms: 4 + 32 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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