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Simplifying 6(3 + x) = 6(-6x + -1) + -18 (3 * 6 + x * 6) = 6(-6x + -1) + -18 (18 + 6x) = 6(-6x + -1) + -18 Reorder the terms: 18 + 6x = 6(-1 + -6x) + -18 18 + 6x = (-1 * 6 + -6x * 6) + -18 18 + 6x = (-6 + -36x) + -18 Reorder the terms: 18 + 6x = -6 + -18 + -36x Combine like terms: -6 + -18 = -24 18 + 6x = -24 + -36x Solving 18 + 6x = -24 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 18 + 6x + 36x = -24 + -36x + 36x Combine like terms: 6x + 36x = 42x 18 + 42x = -24 + -36x + 36x Combine like terms: -36x + 36x = 0 18 + 42x = -24 + 0 18 + 42x = -24 Add '-18' to each side of the equation. 18 + -18 + 42x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 42x = -24 + -18 42x = -24 + -18 Combine like terms: -24 + -18 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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