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Simplifying 13x + 45 = 8x + 30 Reorder the terms: 45 + 13x = 8x + 30 Reorder the terms: 45 + 13x = 30 + 8x Solving 45 + 13x = 30 + 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. 45 + 13x + -8x = 30 + 8x + -8x Combine like terms: 13x + -8x = 5x 45 + 5x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + 5x = 30 + 0 45 + 5x = 30 Add '-45' to each side of the equation. 45 + -45 + 5x = 30 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 30 + -45 5x = 30 + -45 Combine like terms: 30 + -45 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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