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Simplifying 6(1 + 4x) = -282 (1 * 6 + 4x * 6) = -282 (6 + 24x) = -282 Solving 6 + 24x = -282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 24x = -282 + -6 Combine like terms: 6 + -6 = 0 0 + 24x = -282 + -6 24x = -282 + -6 Combine like terms: -282 + -6 = -288 24x = -288 Divide each side by '24'. x = -12 Simplifying x = -12
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