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Simplifying 13x + 9 = 2x + 42 Reorder the terms: 9 + 13x = 2x + 42 Reorder the terms: 9 + 13x = 42 + 2x Solving 9 + 13x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 13x + -2x = 42 + 2x + -2x Combine like terms: 13x + -2x = 11x 9 + 11x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 11x = 42 + 0 9 + 11x = 42 Add '-9' to each side of the equation. 9 + -9 + 11x = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 42 + -9 11x = 42 + -9 Combine like terms: 42 + -9 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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