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Simplifying 8x + 3 + -6(x + 1) = 9x + 3 Reorder the terms: 8x + 3 + -6(1 + x) = 9x + 3 8x + 3 + (1 * -6 + x * -6) = 9x + 3 8x + 3 + (-6 + -6x) = 9x + 3 Reorder the terms: 3 + -6 + 8x + -6x = 9x + 3 Combine like terms: 3 + -6 = -3 -3 + 8x + -6x = 9x + 3 Combine like terms: 8x + -6x = 2x -3 + 2x = 9x + 3 Reorder the terms: -3 + 2x = 3 + 9x Solving -3 + 2x = 3 + 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. -3 + 2x + -9x = 3 + 9x + -9x Combine like terms: 2x + -9x = -7x -3 + -7x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -7x = 3 + 0 -3 + -7x = 3 Add '3' to each side of the equation. -3 + 3 + -7x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 3 + 3 -7x = 3 + 3 Combine like terms: 3 + 3 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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