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Simplifying 5(x + -8) + 14 = 2(x + 17) + 9x Reorder the terms: 5(-8 + x) + 14 = 2(x + 17) + 9x (-8 * 5 + x * 5) + 14 = 2(x + 17) + 9x (-40 + 5x) + 14 = 2(x + 17) + 9x Reorder the terms: -40 + 14 + 5x = 2(x + 17) + 9x Combine like terms: -40 + 14 = -26 -26 + 5x = 2(x + 17) + 9x Reorder the terms: -26 + 5x = 2(17 + x) + 9x -26 + 5x = (17 * 2 + x * 2) + 9x -26 + 5x = (34 + 2x) + 9x Combine like terms: 2x + 9x = 11x -26 + 5x = 34 + 11x Solving -26 + 5x = 34 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -26 + 5x + -11x = 34 + 11x + -11x Combine like terms: 5x + -11x = -6x -26 + -6x = 34 + 11x + -11x Combine like terms: 11x + -11x = 0 -26 + -6x = 34 + 0 -26 + -6x = 34 Add '26' to each side of the equation. -26 + 26 + -6x = 34 + 26 Combine like terms: -26 + 26 = 0 0 + -6x = 34 + 26 -6x = 34 + 26 Combine like terms: 34 + 26 = 60 -6x = 60 Divide each side by '-6'. x = -10 Simplifying x = -10
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