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Simplifying 6 + 6x + -1(2x + 8) + -1(2x + 4) = 0 Reorder the terms: 6 + 6x + -1(8 + 2x) + -1(2x + 4) = 0 6 + 6x + (8 * -1 + 2x * -1) + -1(2x + 4) = 0 6 + 6x + (-8 + -2x) + -1(2x + 4) = 0 Reorder the terms: 6 + 6x + -8 + -2x + -1(4 + 2x) = 0 6 + 6x + -8 + -2x + (4 * -1 + 2x * -1) = 0 6 + 6x + -8 + -2x + (-4 + -2x) = 0 Reorder the terms: 6 + -8 + -4 + 6x + -2x + -2x = 0 Combine like terms: 6 + -8 = -2 -2 + -4 + 6x + -2x + -2x = 0 Combine like terms: -2 + -4 = -6 -6 + 6x + -2x + -2x = 0 Combine like terms: 6x + -2x = 4x -6 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -6 + 2x = 0 Solving -6 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 0 + 6 2x = 0 + 6 Combine like terms: 0 + 6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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