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Simplifying 6x + 8 + -9(x + 1) = 5x + 4 Reorder the terms: 6x + 8 + -9(1 + x) = 5x + 4 6x + 8 + (1 * -9 + x * -9) = 5x + 4 6x + 8 + (-9 + -9x) = 5x + 4 Reorder the terms: 8 + -9 + 6x + -9x = 5x + 4 Combine like terms: 8 + -9 = -1 -1 + 6x + -9x = 5x + 4 Combine like terms: 6x + -9x = -3x -1 + -3x = 5x + 4 Reorder the terms: -1 + -3x = 4 + 5x Solving -1 + -3x = 4 + 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. -1 + -3x + -5x = 4 + 5x + -5x Combine like terms: -3x + -5x = -8x -1 + -8x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -8x = 4 + 0 -1 + -8x = 4 Add '1' to each side of the equation. -1 + 1 + -8x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 4 + 1 -8x = 4 + 1 Combine like terms: 4 + 1 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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