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Simplifying 8x + 2 + -3(x + 1) = 9x + 2 Reorder the terms: 8x + 2 + -3(1 + x) = 9x + 2 8x + 2 + (1 * -3 + x * -3) = 9x + 2 8x + 2 + (-3 + -3x) = 9x + 2 Reorder the terms: 2 + -3 + 8x + -3x = 9x + 2 Combine like terms: 2 + -3 = -1 -1 + 8x + -3x = 9x + 2 Combine like terms: 8x + -3x = 5x -1 + 5x = 9x + 2 Reorder the terms: -1 + 5x = 2 + 9x Solving -1 + 5x = 2 + 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. -1 + 5x + -9x = 2 + 9x + -9x Combine like terms: 5x + -9x = -4x -1 + -4x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -4x = 2 + 0 -1 + -4x = 2 Add '1' to each side of the equation. -1 + 1 + -4x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 2 + 1 -4x = 2 + 1 Combine like terms: 2 + 1 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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