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Simplifying 45x + 8 = 13 + -10x Reorder the terms: 8 + 45x = 13 + -10x Solving 8 + 45x = 13 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + 45x + 10x = 13 + -10x + 10x Combine like terms: 45x + 10x = 55x 8 + 55x = 13 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 55x = 13 + 0 8 + 55x = 13 Add '-8' to each side of the equation. 8 + -8 + 55x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 55x = 13 + -8 55x = 13 + -8 Combine like terms: 13 + -8 = 5 55x = 5 Divide each side by '55'. x = 0.09090909091 Simplifying x = 0.09090909091
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