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Simplifying 2x + 9 + -6(x + 1) = 5x + 8 Reorder the terms: 2x + 9 + -6(1 + x) = 5x + 8 2x + 9 + (1 * -6 + x * -6) = 5x + 8 2x + 9 + (-6 + -6x) = 5x + 8 Reorder the terms: 9 + -6 + 2x + -6x = 5x + 8 Combine like terms: 9 + -6 = 3 3 + 2x + -6x = 5x + 8 Combine like terms: 2x + -6x = -4x 3 + -4x = 5x + 8 Reorder the terms: 3 + -4x = 8 + 5x Solving 3 + -4x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + -4x + -5x = 8 + 5x + -5x Combine like terms: -4x + -5x = -9x 3 + -9x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -9x = 8 + 0 3 + -9x = 8 Add '-3' to each side of the equation. 3 + -3 + -9x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 8 + -3 -9x = 8 + -3 Combine like terms: 8 + -3 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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