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Simplifying 2x + 9 = 45 + -4x Reorder the terms: 9 + 2x = 45 + -4x Solving 9 + 2x = 45 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 2x + 4x = 45 + -4x + 4x Combine like terms: 2x + 4x = 6x 9 + 6x = 45 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 6x = 45 + 0 9 + 6x = 45 Add '-9' to each side of the equation. 9 + -9 + 6x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 45 + -9 6x = 45 + -9 Combine like terms: 45 + -9 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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