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Simplifying 6x + 6 + -9(x + 1) = 5x + 2 Reorder the terms: 6x + 6 + -9(1 + x) = 5x + 2 6x + 6 + (1 * -9 + x * -9) = 5x + 2 6x + 6 + (-9 + -9x) = 5x + 2 Reorder the terms: 6 + -9 + 6x + -9x = 5x + 2 Combine like terms: 6 + -9 = -3 -3 + 6x + -9x = 5x + 2 Combine like terms: 6x + -9x = -3x -3 + -3x = 5x + 2 Reorder the terms: -3 + -3x = 2 + 5x Solving -3 + -3x = 2 + 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 + -3x + -5x = 2 + 5x + -5x Combine like terms: -3x + -5x = -8x -3 + -8x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -8x = 2 + 0 -3 + -8x = 2 Add '3' to each side of the equation. -3 + 3 + -8x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 2 + 3 -8x = 2 + 3 Combine like terms: 2 + 3 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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