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Simplifying 33 + -7x = -1(4x + 7) + -8x Reorder the terms: 33 + -7x = -1(7 + 4x) + -8x 33 + -7x = (7 * -1 + 4x * -1) + -8x 33 + -7x = (-7 + -4x) + -8x Combine like terms: -4x + -8x = -12x 33 + -7x = -7 + -12x Solving 33 + -7x = -7 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 33 + -7x + 12x = -7 + -12x + 12x Combine like terms: -7x + 12x = 5x 33 + 5x = -7 + -12x + 12x Combine like terms: -12x + 12x = 0 33 + 5x = -7 + 0 33 + 5x = -7 Add '-33' to each side of the equation. 33 + -33 + 5x = -7 + -33 Combine like terms: 33 + -33 = 0 0 + 5x = -7 + -33 5x = -7 + -33 Combine like terms: -7 + -33 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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