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Simplifying 4x + -1(x + 8) = 9x + 8 + 1 Reorder the terms: 4x + -1(8 + x) = 9x + 8 + 1 4x + (8 * -1 + x * -1) = 9x + 8 + 1 4x + (-8 + -1x) = 9x + 8 + 1 Reorder the terms: -8 + 4x + -1x = 9x + 8 + 1 Combine like terms: 4x + -1x = 3x -8 + 3x = 9x + 8 + 1 Reorder the terms: -8 + 3x = 8 + 1 + 9x Combine like terms: 8 + 1 = 9 -8 + 3x = 9 + 9x Solving -8 + 3x = 9 + 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. -8 + 3x + -9x = 9 + 9x + -9x Combine like terms: 3x + -9x = -6x -8 + -6x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -6x = 9 + 0 -8 + -6x = 9 Add '8' to each side of the equation. -8 + 8 + -6x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 9 + 8 -6x = 9 + 8 Combine like terms: 9 + 8 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333
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