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Simplifying x * 6 + 71 = x * 11 + -9 Reorder the terms for easier multiplication: 6x + 71 = x * 11 + -9 Reorder the terms: 71 + 6x = x * 11 + -9 Reorder the terms for easier multiplication: 71 + 6x = 11x + -9 Reorder the terms: 71 + 6x = -9 + 11x Solving 71 + 6x = -9 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 71 + 6x + -11x = -9 + 11x + -11x Combine like terms: 6x + -11x = -5x 71 + -5x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 71 + -5x = -9 + 0 71 + -5x = -9 Add '-71' to each side of the equation. 71 + -71 + -5x = -9 + -71 Combine like terms: 71 + -71 = 0 0 + -5x = -9 + -71 -5x = -9 + -71 Combine like terms: -9 + -71 = -80 -5x = -80 Divide each side by '-5'. x = 16 Simplifying x = 16
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