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Simplifying -3(1 + 6x) = -3(7x + 6) (1 * -3 + 6x * -3) = -3(7x + 6) (-3 + -18x) = -3(7x + 6) Reorder the terms: -3 + -18x = -3(6 + 7x) -3 + -18x = (6 * -3 + 7x * -3) -3 + -18x = (-18 + -21x) Solving -3 + -18x = -18 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -3 + -18x + 21x = -18 + -21x + 21x Combine like terms: -18x + 21x = 3x -3 + 3x = -18 + -21x + 21x Combine like terms: -21x + 21x = 0 -3 + 3x = -18 + 0 -3 + 3x = -18 Add '3' to each side of the equation. -3 + 3 + 3x = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -18 + 3 3x = -18 + 3 Combine like terms: -18 + 3 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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