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Simplifying 3x + 8 + -9(x + 1) = 2x + 6 Reorder the terms: 3x + 8 + -9(1 + x) = 2x + 6 3x + 8 + (1 * -9 + x * -9) = 2x + 6 3x + 8 + (-9 + -9x) = 2x + 6 Reorder the terms: 8 + -9 + 3x + -9x = 2x + 6 Combine like terms: 8 + -9 = -1 -1 + 3x + -9x = 2x + 6 Combine like terms: 3x + -9x = -6x -1 + -6x = 2x + 6 Reorder the terms: -1 + -6x = 6 + 2x Solving -1 + -6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + -6x + -2x = 6 + 2x + -2x Combine like terms: -6x + -2x = -8x -1 + -8x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -8x = 6 + 0 -1 + -8x = 6 Add '1' to each side of the equation. -1 + 1 + -8x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 6 + 1 -8x = 6 + 1 Combine like terms: 6 + 1 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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