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Simplifying 33 + 7x = -2(1 + -1x) 33 + 7x = (1 * -2 + -1x * -2) 33 + 7x = (-2 + 2x) Solving 33 + 7x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 33 + 7x + -2x = -2 + 2x + -2x Combine like terms: 7x + -2x = 5x 33 + 5x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 33 + 5x = -2 + 0 33 + 5x = -2 Add '-33' to each side of the equation. 33 + -33 + 5x = -2 + -33 Combine like terms: 33 + -33 = 0 0 + 5x = -2 + -33 5x = -2 + -33 Combine like terms: -2 + -33 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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