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Simplifying 6x + 7 + -8x = 10 + 9x + -13 Reorder the terms: 7 + 6x + -8x = 10 + 9x + -13 Combine like terms: 6x + -8x = -2x 7 + -2x = 10 + 9x + -13 Reorder the terms: 7 + -2x = 10 + -13 + 9x Combine like terms: 10 + -13 = -3 7 + -2x = -3 + 9x Solving 7 + -2x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + -2x + -9x = -3 + 9x + -9x Combine like terms: -2x + -9x = -11x 7 + -11x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -11x = -3 + 0 7 + -11x = -3 Add '-7' to each side of the equation. 7 + -7 + -11x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = -3 + -7 -11x = -3 + -7 Combine like terms: -3 + -7 = -10 -11x = -10 Divide each side by '-11'. x = 0.9090909091 Simplifying x = 0.9090909091
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