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Simplifying 5x + 3 + -8(x + 1) = 9x + 8 Reorder the terms: 5x + 3 + -8(1 + x) = 9x + 8 5x + 3 + (1 * -8 + x * -8) = 9x + 8 5x + 3 + (-8 + -8x) = 9x + 8 Reorder the terms: 3 + -8 + 5x + -8x = 9x + 8 Combine like terms: 3 + -8 = -5 -5 + 5x + -8x = 9x + 8 Combine like terms: 5x + -8x = -3x -5 + -3x = 9x + 8 Reorder the terms: -5 + -3x = 8 + 9x Solving -5 + -3x = 8 + 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. -5 + -3x + -9x = 8 + 9x + -9x Combine like terms: -3x + -9x = -12x -5 + -12x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -12x = 8 + 0 -5 + -12x = 8 Add '5' to each side of the equation. -5 + 5 + -12x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = 8 + 5 -12x = 8 + 5 Combine like terms: 8 + 5 = 13 -12x = 13 Divide each side by '-12'. x = -1.083333333 Simplifying x = -1.083333333
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