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Simplifying 8x + -1(4x + 5) = 8x + -33 Reorder the terms: 8x + -1(5 + 4x) = 8x + -33 8x + (5 * -1 + 4x * -1) = 8x + -33 8x + (-5 + -4x) = 8x + -33 Reorder the terms: -5 + 8x + -4x = 8x + -33 Combine like terms: 8x + -4x = 4x -5 + 4x = 8x + -33 Reorder the terms: -5 + 4x = -33 + 8x Solving -5 + 4x = -33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 4x + -8x = -33 + 8x + -8x Combine like terms: 4x + -8x = -4x -5 + -4x = -33 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -4x = -33 + 0 -5 + -4x = -33 Add '5' to each side of the equation. -5 + 5 + -4x = -33 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -33 + 5 -4x = -33 + 5 Combine like terms: -33 + 5 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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