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