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Simplifying 33 + -1x = 4 + -5(1 + 7x) 33 + -1x = 4 + (1 * -5 + 7x * -5) 33 + -1x = 4 + (-5 + -35x) Combine like terms: 4 + -5 = -1 33 + -1x = -1 + -35x Solving 33 + -1x = -1 + -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 + -1x + 35x = -1 + -35x + 35x Combine like terms: -1x + 35x = 34x 33 + 34x = -1 + -35x + 35x Combine like terms: -35x + 35x = 0 33 + 34x = -1 + 0 33 + 34x = -1 Add '-33' to each side of the equation. 33 + -33 + 34x = -1 + -33 Combine like terms: 33 + -33 = 0 0 + 34x = -1 + -33 34x = -1 + -33 Combine like terms: -1 + -33 = -34 34x = -34 Divide each side by '34'. x = -1 Simplifying x = -1
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