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Simplifying 10x + 13 = 5x + 43 Reorder the terms: 13 + 10x = 5x + 43 Reorder the terms: 13 + 10x = 43 + 5x Solving 13 + 10x = 43 + 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. 13 + 10x + -5x = 43 + 5x + -5x Combine like terms: 10x + -5x = 5x 13 + 5x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 5x = 43 + 0 13 + 5x = 43 Add '-13' to each side of the equation. 13 + -13 + 5x = 43 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 43 + -13 5x = 43 + -13 Combine like terms: 43 + -13 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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