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Simplifying 9(42) + -9(4) = 9(30) + 9x Multiply 9 * 42 378 + -9(4) = 9(30) + 9x Multiply -9 * 4 378 + -36 = 9(30) + 9x Combine like terms: 378 + -36 = 342 342 = 9(30) + 9x Multiply 9 * 30 342 = 270 + 9x Solving 342 = 270 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 342 + -9x = 270 + 9x + -9x Combine like terms: 9x + -9x = 0 342 + -9x = 270 + 0 342 + -9x = 270 Add '-342' to each side of the equation. 342 + -342 + -9x = 270 + -342 Combine like terms: 342 + -342 = 0 0 + -9x = 270 + -342 -9x = 270 + -342 Combine like terms: 270 + -342 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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