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Simplifying 6x + -6(2x + -5) = -42 Reorder the terms: 6x + -6(-5 + 2x) = -42 6x + (-5 * -6 + 2x * -6) = -42 6x + (30 + -12x) = -42 Reorder the terms: 30 + 6x + -12x = -42 Combine like terms: 6x + -12x = -6x 30 + -6x = -42 Solving 30 + -6x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -6x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -42 + -30 -6x = -42 + -30 Combine like terms: -42 + -30 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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