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Simplifying 5x + 8 + -9(x + 1) = 3x + 5 Reorder the terms: 5x + 8 + -9(1 + x) = 3x + 5 5x + 8 + (1 * -9 + x * -9) = 3x + 5 5x + 8 + (-9 + -9x) = 3x + 5 Reorder the terms: 8 + -9 + 5x + -9x = 3x + 5 Combine like terms: 8 + -9 = -1 -1 + 5x + -9x = 3x + 5 Combine like terms: 5x + -9x = -4x -1 + -4x = 3x + 5 Reorder the terms: -1 + -4x = 5 + 3x Solving -1 + -4x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -4x + -3x = 5 + 3x + -3x Combine like terms: -4x + -3x = -7x -1 + -7x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -7x = 5 + 0 -1 + -7x = 5 Add '1' to each side of the equation. -1 + 1 + -7x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 5 + 1 -7x = 5 + 1 Combine like terms: 5 + 1 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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