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Simplifying 8 + -9x + -2 = -52 + 5x + -12 Reorder the terms: 8 + -2 + -9x = -52 + 5x + -12 Combine like terms: 8 + -2 = 6 6 + -9x = -52 + 5x + -12 Reorder the terms: 6 + -9x = -52 + -12 + 5x Combine like terms: -52 + -12 = -64 6 + -9x = -64 + 5x Solving 6 + -9x = -64 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -9x + -5x = -64 + 5x + -5x Combine like terms: -9x + -5x = -14x 6 + -14x = -64 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -14x = -64 + 0 6 + -14x = -64 Add '-6' to each side of the equation. 6 + -6 + -14x = -64 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = -64 + -6 -14x = -64 + -6 Combine like terms: -64 + -6 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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