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Simplifying -6(1 + 3x) = -2(-6 + 6x) + 3x (1 * -6 + 3x * -6) = -2(-6 + 6x) + 3x (-6 + -18x) = -2(-6 + 6x) + 3x -6 + -18x = (-6 * -2 + 6x * -2) + 3x -6 + -18x = (12 + -12x) + 3x Combine like terms: -12x + 3x = -9x -6 + -18x = 12 + -9x Solving -6 + -18x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -6 + -18x + 9x = 12 + -9x + 9x Combine like terms: -18x + 9x = -9x -6 + -9x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + -9x = 12 + 0 -6 + -9x = 12 Add '6' to each side of the equation. -6 + 6 + -9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 12 + 6 -9x = 12 + 6 Combine like terms: 12 + 6 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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