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Simplifying 3(2x + -2(4 + -1(x + -7))) = 6 Reorder the terms: 3(2x + -2(4 + -1(-7 + x))) = 6 3(2x + -2(4 + (-7 * -1 + x * -1))) = 6 3(2x + -2(4 + (7 + -1x))) = 6 Combine like terms: 4 + 7 = 11 3(2x + -2(11 + -1x)) = 6 3(2x + (11 * -2 + -1x * -2)) = 6 3(2x + (-22 + 2x)) = 6 Reorder the terms: 3(-22 + 2x + 2x) = 6 Combine like terms: 2x + 2x = 4x 3(-22 + 4x) = 6 (-22 * 3 + 4x * 3) = 6 (-66 + 12x) = 6 Solving -66 + 12x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 12x = 6 + 66 Combine like terms: -66 + 66 = 0 0 + 12x = 6 + 66 12x = 6 + 66 Combine like terms: 6 + 66 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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