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Simplifying -6(1 + -3x) + -3(x + -6) = 12 (1 * -6 + -3x * -6) + -3(x + -6) = 12 (-6 + 18x) + -3(x + -6) = 12 Reorder the terms: -6 + 18x + -3(-6 + x) = 12 -6 + 18x + (-6 * -3 + x * -3) = 12 -6 + 18x + (18 + -3x) = 12 Reorder the terms: -6 + 18 + 18x + -3x = 12 Combine like terms: -6 + 18 = 12 12 + 18x + -3x = 12 Combine like terms: 18x + -3x = 15x 12 + 15x = 12 Add '-12' to each side of the equation. 12 + -12 + 15x = 12 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = 12 + -12 15x = 12 + -12 Combine like terms: 12 + -12 = 0 15x = 0 Solving 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '15'. x = 0 Simplifying x = 0
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