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Simplifying 3x + 6(x + -5) = 42 Reorder the terms: 3x + 6(-5 + x) = 42 3x + (-5 * 6 + x * 6) = 42 3x + (-30 + 6x) = 42 Reorder the terms: -30 + 3x + 6x = 42 Combine like terms: 3x + 6x = 9x -30 + 9x = 42 Solving -30 + 9x = 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 + 9x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = 42 + 30 9x = 42 + 30 Combine like terms: 42 + 30 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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