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Simplifying 2x + 9 = 6x + 46 Reorder the terms: 9 + 2x = 6x + 46 Reorder the terms: 9 + 2x = 46 + 6x Solving 9 + 2x = 46 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 2x + -6x = 46 + 6x + -6x Combine like terms: 2x + -6x = -4x 9 + -4x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -4x = 46 + 0 9 + -4x = 46 Add '-9' to each side of the equation. 9 + -9 + -4x = 46 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 46 + -9 -4x = 46 + -9 Combine like terms: 46 + -9 = 37 -4x = 37 Divide each side by '-4'. x = -9.25 Simplifying x = -9.25
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