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Simplifying -6(x + -3) + -4(6 + -6x) = 12 Reorder the terms: -6(-3 + x) + -4(6 + -6x) = 12 (-3 * -6 + x * -6) + -4(6 + -6x) = 12 (18 + -6x) + -4(6 + -6x) = 12 18 + -6x + (6 * -4 + -6x * -4) = 12 18 + -6x + (-24 + 24x) = 12 Reorder the terms: 18 + -24 + -6x + 24x = 12 Combine like terms: 18 + -24 = -6 -6 + -6x + 24x = 12 Combine like terms: -6x + 24x = 18x -6 + 18x = 12 Solving -6 + 18x = 12 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 + 18x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 12 + 6 18x = 12 + 6 Combine like terms: 12 + 6 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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