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Simplifying 4 + -2(2x + -2) = 2(4 + -3x) Reorder the terms: 4 + -2(-2 + 2x) = 2(4 + -3x) 4 + (-2 * -2 + 2x * -2) = 2(4 + -3x) 4 + (4 + -4x) = 2(4 + -3x) Combine like terms: 4 + 4 = 8 8 + -4x = 2(4 + -3x) 8 + -4x = (4 * 2 + -3x * 2) 8 + -4x = (8 + -6x) Add '-8' to each side of the equation. 8 + -8 + -4x = 8 + -8 + -6x Combine like terms: 8 + -8 = 0 0 + -4x = 8 + -8 + -6x -4x = 8 + -8 + -6x Combine like terms: 8 + -8 = 0 -4x = 0 + -6x -4x = -6x Solving -4x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4x + 6x = -6x + 6x Combine like terms: -4x + 6x = 2x 2x = -6x + 6x Combine like terms: -6x + 6x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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