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Simplifying -6(3 + x) = 6(1 + 3x) (3 * -6 + x * -6) = 6(1 + 3x) (-18 + -6x) = 6(1 + 3x) -18 + -6x = (1 * 6 + 3x * 6) -18 + -6x = (6 + 18x) Solving -18 + -6x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -18 + -6x + -18x = 6 + 18x + -18x Combine like terms: -6x + -18x = -24x -18 + -24x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 -18 + -24x = 6 + 0 -18 + -24x = 6 Add '18' to each side of the equation. -18 + 18 + -24x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -24x = 6 + 18 -24x = 6 + 18 Combine like terms: 6 + 18 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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