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Simplifying 3x + -3(5x + 10) = 42 Reorder the terms: 3x + -3(10 + 5x) = 42 3x + (10 * -3 + 5x * -3) = 42 3x + (-30 + -15x) = 42 Reorder the terms: -30 + 3x + -15x = 42 Combine like terms: 3x + -15x = -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 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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