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Simplifying 4x + -1(8x + 5) = 4x + -21 Reorder the terms: 4x + -1(5 + 8x) = 4x + -21 4x + (5 * -1 + 8x * -1) = 4x + -21 4x + (-5 + -8x) = 4x + -21 Reorder the terms: -5 + 4x + -8x = 4x + -21 Combine like terms: 4x + -8x = -4x -5 + -4x = 4x + -21 Reorder the terms: -5 + -4x = -21 + 4x Solving -5 + -4x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + -4x + -4x = -21 + 4x + -4x Combine like terms: -4x + -4x = -8x -5 + -8x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -8x = -21 + 0 -5 + -8x = -21 Add '5' to each side of the equation. -5 + 5 + -8x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = -21 + 5 -8x = -21 + 5 Combine like terms: -21 + 5 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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