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Simplifying 9x + 83 = 15x + 35 Reorder the terms: 83 + 9x = 15x + 35 Reorder the terms: 83 + 9x = 35 + 15x Solving 83 + 9x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 83 + 9x + -15x = 35 + 15x + -15x Combine like terms: 9x + -15x = -6x 83 + -6x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 83 + -6x = 35 + 0 83 + -6x = 35 Add '-83' to each side of the equation. 83 + -83 + -6x = 35 + -83 Combine like terms: 83 + -83 = 0 0 + -6x = 35 + -83 -6x = 35 + -83 Combine like terms: 35 + -83 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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