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Simplifying 6x + -8x + 10 = 9x + 19 + 13 Reorder the terms: 10 + 6x + -8x = 9x + 19 + 13 Combine like terms: 6x + -8x = -2x 10 + -2x = 9x + 19 + 13 Reorder the terms: 10 + -2x = 19 + 13 + 9x Combine like terms: 19 + 13 = 32 10 + -2x = 32 + 9x Solving 10 + -2x = 32 + 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. 10 + -2x + -9x = 32 + 9x + -9x Combine like terms: -2x + -9x = -11x 10 + -11x = 32 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -11x = 32 + 0 10 + -11x = 32 Add '-10' to each side of the equation. 10 + -10 + -11x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 32 + -10 -11x = 32 + -10 Combine like terms: 32 + -10 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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