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Simplifying 8x + 2 + -6(x + 1) = 9x + 2 Reorder the terms: 8x + 2 + -6(1 + x) = 9x + 2 8x + 2 + (1 * -6 + x * -6) = 9x + 2 8x + 2 + (-6 + -6x) = 9x + 2 Reorder the terms: 2 + -6 + 8x + -6x = 9x + 2 Combine like terms: 2 + -6 = -4 -4 + 8x + -6x = 9x + 2 Combine like terms: 8x + -6x = 2x -4 + 2x = 9x + 2 Reorder the terms: -4 + 2x = 2 + 9x Solving -4 + 2x = 2 + 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. -4 + 2x + -9x = 2 + 9x + -9x Combine like terms: 2x + -9x = -7x -4 + -7x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -7x = 2 + 0 -4 + -7x = 2 Add '4' to each side of the equation. -4 + 4 + -7x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 2 + 4 -7x = 2 + 4 Combine like terms: 2 + 4 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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