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Simplifying 3x + 7 + -9(x + 1) = 2x + 5 Reorder the terms: 3x + 7 + -9(1 + x) = 2x + 5 3x + 7 + (1 * -9 + x * -9) = 2x + 5 3x + 7 + (-9 + -9x) = 2x + 5 Reorder the terms: 7 + -9 + 3x + -9x = 2x + 5 Combine like terms: 7 + -9 = -2 -2 + 3x + -9x = 2x + 5 Combine like terms: 3x + -9x = -6x -2 + -6x = 2x + 5 Reorder the terms: -2 + -6x = 5 + 2x Solving -2 + -6x = 5 + 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. -2 + -6x + -2x = 5 + 2x + -2x Combine like terms: -6x + -2x = -8x -2 + -8x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -8x = 5 + 0 -2 + -8x = 5 Add '2' to each side of the equation. -2 + 2 + -8x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 5 + 2 -8x = 5 + 2 Combine like terms: 5 + 2 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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