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Simplifying 8x + -2 + -5x + 7 = 9x + 1 Reorder the terms: -2 + 7 + 8x + -5x = 9x + 1 Combine like terms: -2 + 7 = 5 5 + 8x + -5x = 9x + 1 Combine like terms: 8x + -5x = 3x 5 + 3x = 9x + 1 Reorder the terms: 5 + 3x = 1 + 9x Solving 5 + 3x = 1 + 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. 5 + 3x + -9x = 1 + 9x + -9x Combine like terms: 3x + -9x = -6x 5 + -6x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -6x = 1 + 0 5 + -6x = 1 Add '-5' to each side of the equation. 5 + -5 + -6x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 1 + -5 -6x = 1 + -5 Combine like terms: 1 + -5 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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