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Simplifying 5x + 17 + 12x + -46 = 90 Reorder the terms: 17 + -46 + 5x + 12x = 90 Combine like terms: 17 + -46 = -29 -29 + 5x + 12x = 90 Combine like terms: 5x + 12x = 17x -29 + 17x = 90 Solving -29 + 17x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 17x = 90 + 29 Combine like terms: -29 + 29 = 0 0 + 17x = 90 + 29 17x = 90 + 29 Combine like terms: 90 + 29 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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