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Simplifying 9x + 45 + -5x = 46 + 3x Reorder the terms: 45 + 9x + -5x = 46 + 3x Combine like terms: 9x + -5x = 4x 45 + 4x = 46 + 3x Solving 45 + 4x = 46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + 4x + -3x = 46 + 3x + -3x Combine like terms: 4x + -3x = 1x 45 + 1x = 46 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 1x = 46 + 0 45 + 1x = 46 Add '-45' to each side of the equation. 45 + -45 + 1x = 46 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 46 + -45 1x = 46 + -45 Combine like terms: 46 + -45 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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