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Simplifying 9 + -5x + -10 = 15 + 6x + -9 Reorder the terms: 9 + -10 + -5x = 15 + 6x + -9 Combine like terms: 9 + -10 = -1 -1 + -5x = 15 + 6x + -9 Reorder the terms: -1 + -5x = 15 + -9 + 6x Combine like terms: 15 + -9 = 6 -1 + -5x = 6 + 6x Solving -1 + -5x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -5x + -6x = 6 + 6x + -6x Combine like terms: -5x + -6x = -11x -1 + -11x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -11x = 6 + 0 -1 + -11x = 6 Add '1' to each side of the equation. -1 + 1 + -11x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -11x = 6 + 1 -11x = 6 + 1 Combine like terms: 6 + 1 = 7 -11x = 7 Divide each side by '-11'. x = -0.6363636364 Simplifying x = -0.6363636364
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