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Simplifying 3(1 + -6x) = 6x + -21 (1 * 3 + -6x * 3) = 6x + -21 (3 + -18x) = 6x + -21 Reorder the terms: 3 + -18x = -21 + 6x Solving 3 + -18x = -21 + 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. 3 + -18x + -6x = -21 + 6x + -6x Combine like terms: -18x + -6x = -24x 3 + -24x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -24x = -21 + 0 3 + -24x = -21 Add '-3' to each side of the equation. 3 + -3 + -24x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -24x = -21 + -3 -24x = -21 + -3 Combine like terms: -21 + -3 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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