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Simplifying 2 + 4(x + -2) = -2(3x + -2) Reorder the terms: 2 + 4(-2 + x) = -2(3x + -2) 2 + (-2 * 4 + x * 4) = -2(3x + -2) 2 + (-8 + 4x) = -2(3x + -2) Combine like terms: 2 + -8 = -6 -6 + 4x = -2(3x + -2) Reorder the terms: -6 + 4x = -2(-2 + 3x) -6 + 4x = (-2 * -2 + 3x * -2) -6 + 4x = (4 + -6x) Solving -6 + 4x = 4 + -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. -6 + 4x + 6x = 4 + -6x + 6x Combine like terms: 4x + 6x = 10x -6 + 10x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 10x = 4 + 0 -6 + 10x = 4 Add '6' to each side of the equation. -6 + 6 + 10x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 4 + 6 10x = 4 + 6 Combine like terms: 4 + 6 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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