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Simplifying 8x + -1(3x + 5) = 9x + -21 Reorder the terms: 8x + -1(5 + 3x) = 9x + -21 8x + (5 * -1 + 3x * -1) = 9x + -21 8x + (-5 + -3x) = 9x + -21 Reorder the terms: -5 + 8x + -3x = 9x + -21 Combine like terms: 8x + -3x = 5x -5 + 5x = 9x + -21 Reorder the terms: -5 + 5x = -21 + 9x Solving -5 + 5x = -21 + 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 + 5x + -9x = -21 + 9x + -9x Combine like terms: 5x + -9x = -4x -5 + -4x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -4x = -21 + 0 -5 + -4x = -21 Add '5' to each side of the equation. -5 + 5 + -4x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -21 + 5 -4x = -21 + 5 Combine like terms: -21 + 5 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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