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Simplifying 3 + 5x = 45 + -8x Solving 3 + 5x = 45 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + 5x + 8x = 45 + -8x + 8x Combine like terms: 5x + 8x = 13x 3 + 13x = 45 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 13x = 45 + 0 3 + 13x = 45 Add '-3' to each side of the equation. 3 + -3 + 13x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 45 + -3 13x = 45 + -3 Combine like terms: 45 + -3 = 42 13x = 42 Divide each side by '13'. x = 3.230769231 Simplifying x = 3.230769231
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