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Simplifying 8 + 3x + -17 = -46 + 9x + -11 Reorder the terms: 8 + -17 + 3x = -46 + 9x + -11 Combine like terms: 8 + -17 = -9 -9 + 3x = -46 + 9x + -11 Reorder the terms: -9 + 3x = -46 + -11 + 9x Combine like terms: -46 + -11 = -57 -9 + 3x = -57 + 9x Solving -9 + 3x = -57 + 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. -9 + 3x + -9x = -57 + 9x + -9x Combine like terms: 3x + -9x = -6x -9 + -6x = -57 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -6x = -57 + 0 -9 + -6x = -57 Add '9' to each side of the equation. -9 + 9 + -6x = -57 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = -57 + 9 -6x = -57 + 9 Combine like terms: -57 + 9 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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