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Simplifying 6(x + -3) + -2(2x + -4) = 0 Reorder the terms: 6(-3 + x) + -2(2x + -4) = 0 (-3 * 6 + x * 6) + -2(2x + -4) = 0 (-18 + 6x) + -2(2x + -4) = 0 Reorder the terms: -18 + 6x + -2(-4 + 2x) = 0 -18 + 6x + (-4 * -2 + 2x * -2) = 0 -18 + 6x + (8 + -4x) = 0 Reorder the terms: -18 + 8 + 6x + -4x = 0 Combine like terms: -18 + 8 = -10 -10 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -10 + 2x = 0 Solving -10 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 0 + 10 2x = 0 + 10 Combine like terms: 0 + 10 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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