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Simplifying 13x + 5 + -3x = 5x + -45 Reorder the terms: 5 + 13x + -3x = 5x + -45 Combine like terms: 13x + -3x = 10x 5 + 10x = 5x + -45 Reorder the terms: 5 + 10x = -45 + 5x Solving 5 + 10x = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 10x + -5x = -45 + 5x + -5x Combine like terms: 10x + -5x = 5x 5 + 5x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 5x = -45 + 0 5 + 5x = -45 Add '-5' to each side of the equation. 5 + -5 + 5x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = -45 + -5 5x = -45 + -5 Combine like terms: -45 + -5 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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