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