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Simplifying 2(4x + -2) = 7x Reorder the terms: 2(-2 + 4x) = 7x (-2 * 2 + 4x * 2) = 7x (-4 + 8x) = 7x Solving -4 + 8x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 8x + -7x = 7x + -7x Combine like terms: 8x + -7x = 1x -4 + 1x = 7x + -7x Combine like terms: 7x + -7x = 0 -4 + 1x = 0 Add '4' to each side of the equation. -4 + 4 + 1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 0 + 4 1x = 0 + 4 Combine like terms: 0 + 4 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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