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Simplifying 4x + 4(2x + -2) = 6 + -2x Reorder the terms: 4x + 4(-2 + 2x) = 6 + -2x 4x + (-2 * 4 + 2x * 4) = 6 + -2x 4x + (-8 + 8x) = 6 + -2x Reorder the terms: -8 + 4x + 8x = 6 + -2x Combine like terms: 4x + 8x = 12x -8 + 12x = 6 + -2x Solving -8 + 12x = 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. -8 + 12x + 2x = 6 + -2x + 2x Combine like terms: 12x + 2x = 14x -8 + 14x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 14x = 6 + 0 -8 + 14x = 6 Add '8' to each side of the equation. -8 + 8 + 14x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 6 + 8 14x = 6 + 8 Combine like terms: 6 + 8 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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