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Simplifying (6x + -6) + -1(4x + 2) = 0 Reorder the terms: (-6 + 6x) + -1(4x + 2) = 0 Remove parenthesis around (-6 + 6x) -6 + 6x + -1(4x + 2) = 0 Reorder the terms: -6 + 6x + -1(2 + 4x) = 0 -6 + 6x + (2 * -1 + 4x * -1) = 0 -6 + 6x + (-2 + -4x) = 0 Reorder the terms: -6 + -2 + 6x + -4x = 0 Combine like terms: -6 + -2 = -8 -8 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -8 + 2x = 0 Solving -8 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 0 + 8 2x = 0 + 8 Combine like terms: 0 + 8 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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