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Simplifying 5x + 17 + -10x = 19 + 6x + -7 Reorder the terms: 17 + 5x + -10x = 19 + 6x + -7 Combine like terms: 5x + -10x = -5x 17 + -5x = 19 + 6x + -7 Reorder the terms: 17 + -5x = 19 + -7 + 6x Combine like terms: 19 + -7 = 12 17 + -5x = 12 + 6x Solving 17 + -5x = 12 + 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. 17 + -5x + -6x = 12 + 6x + -6x Combine like terms: -5x + -6x = -11x 17 + -11x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -11x = 12 + 0 17 + -11x = 12 Add '-17' to each side of the equation. 17 + -17 + -11x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -11x = 12 + -17 -11x = 12 + -17 Combine like terms: 12 + -17 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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