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Simplifying 8 + 11x + -5 = 9x + 31 + -2x Reorder the terms: 8 + -5 + 11x = 9x + 31 + -2x Combine like terms: 8 + -5 = 3 3 + 11x = 9x + 31 + -2x Reorder the terms: 3 + 11x = 31 + 9x + -2x Combine like terms: 9x + -2x = 7x 3 + 11x = 31 + 7x Solving 3 + 11x = 31 + 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. 3 + 11x + -7x = 31 + 7x + -7x Combine like terms: 11x + -7x = 4x 3 + 4x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 4x = 31 + 0 3 + 4x = 31 Add '-3' to each side of the equation. 3 + -3 + 4x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 31 + -3 4x = 31 + -3 Combine like terms: 31 + -3 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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