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Simplifying 2(-4 + 8x) = 40 + 8x (-4 * 2 + 8x * 2) = 40 + 8x (-8 + 16x) = 40 + 8x Solving -8 + 16x = 40 + 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. -8 + 16x + -8x = 40 + 8x + -8x Combine like terms: 16x + -8x = 8x -8 + 8x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 8x = 40 + 0 -8 + 8x = 40 Add '8' to each side of the equation. -8 + 8 + 8x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 40 + 8 8x = 40 + 8 Combine like terms: 40 + 8 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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