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Simplifying 2x + -8 + 5x + -9 + -6x = 19 + -2x Reorder the terms: -8 + -9 + 2x + 5x + -6x = 19 + -2x Combine like terms: -8 + -9 = -17 -17 + 2x + 5x + -6x = 19 + -2x Combine like terms: 2x + 5x = 7x -17 + 7x + -6x = 19 + -2x Combine like terms: 7x + -6x = 1x -17 + 1x = 19 + -2x Solving -17 + 1x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -17 + 1x + 2x = 19 + -2x + 2x Combine like terms: 1x + 2x = 3x -17 + 3x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 3x = 19 + 0 -17 + 3x = 19 Add '17' to each side of the equation. -17 + 17 + 3x = 19 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 19 + 17 3x = 19 + 17 Combine like terms: 19 + 17 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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