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Simplifying 5x + 8 + -9(x + 1) = 4x + 2 Reorder the terms: 5x + 8 + -9(1 + x) = 4x + 2 5x + 8 + (1 * -9 + x * -9) = 4x + 2 5x + 8 + (-9 + -9x) = 4x + 2 Reorder the terms: 8 + -9 + 5x + -9x = 4x + 2 Combine like terms: 8 + -9 = -1 -1 + 5x + -9x = 4x + 2 Combine like terms: 5x + -9x = -4x -1 + -4x = 4x + 2 Reorder the terms: -1 + -4x = 2 + 4x Solving -1 + -4x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -4x + -4x = 2 + 4x + -4x Combine like terms: -4x + -4x = -8x -1 + -8x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -8x = 2 + 0 -1 + -8x = 2 Add '1' to each side of the equation. -1 + 1 + -8x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 2 + 1 -8x = 2 + 1 Combine like terms: 2 + 1 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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