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Simplifying 3(10 + -2x) + -6x = 42 (10 * 3 + -2x * 3) + -6x = 42 (30 + -6x) + -6x = 42 Combine like terms: -6x + -6x = -12x 30 + -12x = 42 Solving 30 + -12x = 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 + -12x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = 42 + -30 -12x = 42 + -30 Combine like terms: 42 + -30 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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