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Simplifying 8x + 4(2x + -2) = 12 + -4x Reorder the terms: 8x + 4(-2 + 2x) = 12 + -4x 8x + (-2 * 4 + 2x * 4) = 12 + -4x 8x + (-8 + 8x) = 12 + -4x Reorder the terms: -8 + 8x + 8x = 12 + -4x Combine like terms: 8x + 8x = 16x -8 + 16x = 12 + -4x Solving -8 + 16x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 16x + 4x = 12 + -4x + 4x Combine like terms: 16x + 4x = 20x -8 + 20x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 20x = 12 + 0 -8 + 20x = 12 Add '8' to each side of the equation. -8 + 8 + 20x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 20x = 12 + 8 20x = 12 + 8 Combine like terms: 12 + 8 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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