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Simplifying 7x + -9 + 3x = 2x + 42 + -9x Reorder the terms: -9 + 7x + 3x = 2x + 42 + -9x Combine like terms: 7x + 3x = 10x -9 + 10x = 2x + 42 + -9x Reorder the terms: -9 + 10x = 42 + 2x + -9x Combine like terms: 2x + -9x = -7x -9 + 10x = 42 + -7x Solving -9 + 10x = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -9 + 10x + 7x = 42 + -7x + 7x Combine like terms: 10x + 7x = 17x -9 + 17x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 17x = 42 + 0 -9 + 17x = 42 Add '9' to each side of the equation. -9 + 9 + 17x = 42 + 9 Combine like terms: -9 + 9 = 0 0 + 17x = 42 + 9 17x = 42 + 9 Combine like terms: 42 + 9 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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