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Simplifying 9x + -5 + 7x = 7x + 46 + -8x Reorder the terms: -5 + 9x + 7x = 7x + 46 + -8x Combine like terms: 9x + 7x = 16x -5 + 16x = 7x + 46 + -8x Reorder the terms: -5 + 16x = 46 + 7x + -8x Combine like terms: 7x + -8x = -1x -5 + 16x = 46 + -1x Solving -5 + 16x = 46 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 16x + x = 46 + -1x + x Combine like terms: 16x + x = 17x -5 + 17x = 46 + -1x + x Combine like terms: -1x + x = 0 -5 + 17x = 46 + 0 -5 + 17x = 46 Add '5' to each side of the equation. -5 + 5 + 17x = 46 + 5 Combine like terms: -5 + 5 = 0 0 + 17x = 46 + 5 17x = 46 + 5 Combine like terms: 46 + 5 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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