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Simplifying 2(2x + -6) + -2(x + 3) = 0 Reorder the terms: 2(-6 + 2x) + -2(x + 3) = 0 (-6 * 2 + 2x * 2) + -2(x + 3) = 0 (-12 + 4x) + -2(x + 3) = 0 Reorder the terms: -12 + 4x + -2(3 + x) = 0 -12 + 4x + (3 * -2 + x * -2) = 0 -12 + 4x + (-6 + -2x) = 0 Reorder the terms: -12 + -6 + 4x + -2x = 0 Combine like terms: -12 + -6 = -18 -18 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -18 + 2x = 0 Solving -18 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 0 + 18 2x = 0 + 18 Combine like terms: 0 + 18 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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