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Simplifying 8(2x + -8) = 6 + 2x Reorder the terms: 8(-8 + 2x) = 6 + 2x (-8 * 8 + 2x * 8) = 6 + 2x (-64 + 16x) = 6 + 2x Solving -64 + 16x = 6 + 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. -64 + 16x + -2x = 6 + 2x + -2x Combine like terms: 16x + -2x = 14x -64 + 14x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -64 + 14x = 6 + 0 -64 + 14x = 6 Add '64' to each side of the equation. -64 + 64 + 14x = 6 + 64 Combine like terms: -64 + 64 = 0 0 + 14x = 6 + 64 14x = 6 + 64 Combine like terms: 6 + 64 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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