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Simplifying 9x + 13 = 7x + 36 Reorder the terms: 13 + 9x = 7x + 36 Reorder the terms: 13 + 9x = 36 + 7x Solving 13 + 9x = 36 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 9x + -7x = 36 + 7x + -7x Combine like terms: 9x + -7x = 2x 13 + 2x = 36 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + 2x = 36 + 0 13 + 2x = 36 Add '-13' to each side of the equation. 13 + -13 + 2x = 36 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 36 + -13 2x = 36 + -13 Combine like terms: 36 + -13 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5
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