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Simplifying 9 + 11x + -2 = 9x + 52 + -7x Reorder the terms: 9 + -2 + 11x = 9x + 52 + -7x Combine like terms: 9 + -2 = 7 7 + 11x = 9x + 52 + -7x Reorder the terms: 7 + 11x = 52 + 9x + -7x Combine like terms: 9x + -7x = 2x 7 + 11x = 52 + 2x Solving 7 + 11x = 52 + 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. 7 + 11x + -2x = 52 + 2x + -2x Combine like terms: 11x + -2x = 9x 7 + 9x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 9x = 52 + 0 7 + 9x = 52 Add '-7' to each side of the equation. 7 + -7 + 9x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 52 + -7 9x = 52 + -7 Combine like terms: 52 + -7 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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