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Simplifying -7(5 + 6x) = 33 + -8x (5 * -7 + 6x * -7) = 33 + -8x (-35 + -42x) = 33 + -8x Solving -35 + -42x = 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. -35 + -42x + 8x = 33 + -8x + 8x Combine like terms: -42x + 8x = -34x -35 + -34x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + -34x = 33 + 0 -35 + -34x = 33 Add '35' to each side of the equation. -35 + 35 + -34x = 33 + 35 Combine like terms: -35 + 35 = 0 0 + -34x = 33 + 35 -34x = 33 + 35 Combine like terms: 33 + 35 = 68 -34x = 68 Divide each side by '-34'. x = -2 Simplifying x = -2
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