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Simplifying -8x + 33 = -7(3 + 5x) Reorder the terms: 33 + -8x = -7(3 + 5x) 33 + -8x = (3 * -7 + 5x * -7) 33 + -8x = (-21 + -35x) Solving 33 + -8x = -21 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 33 + -8x + 35x = -21 + -35x + 35x Combine like terms: -8x + 35x = 27x 33 + 27x = -21 + -35x + 35x Combine like terms: -35x + 35x = 0 33 + 27x = -21 + 0 33 + 27x = -21 Add '-33' to each side of the equation. 33 + -33 + 27x = -21 + -33 Combine like terms: 33 + -33 = 0 0 + 27x = -21 + -33 27x = -21 + -33 Combine like terms: -21 + -33 = -54 27x = -54 Divide each side by '27'. x = -2 Simplifying x = -2
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