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Simplifying -6(1 + 3x) = -3(x + 2) (1 * -6 + 3x * -6) = -3(x + 2) (-6 + -18x) = -3(x + 2) Reorder the terms: -6 + -18x = -3(2 + x) -6 + -18x = (2 * -3 + x * -3) -6 + -18x = (-6 + -3x) Add '6' to each side of the equation. -6 + 6 + -18x = -6 + 6 + -3x Combine like terms: -6 + 6 = 0 0 + -18x = -6 + 6 + -3x -18x = -6 + 6 + -3x Combine like terms: -6 + 6 = 0 -18x = 0 + -3x -18x = -3x Solving -18x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18x + 3x = -3x + 3x Combine like terms: -18x + 3x = -15x -15x = -3x + 3x Combine like terms: -3x + 3x = 0 -15x = 0 Divide each side by '-15'. x = 0 Simplifying x = 0
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