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Simplifying 33 = -3(23 + -1x) + 3(x + -2) 33 = (23 * -3 + -1x * -3) + 3(x + -2) 33 = (-69 + 3x) + 3(x + -2) Reorder the terms: 33 = -69 + 3x + 3(-2 + x) 33 = -69 + 3x + (-2 * 3 + x * 3) 33 = -69 + 3x + (-6 + 3x) Reorder the terms: 33 = -69 + -6 + 3x + 3x Combine like terms: -69 + -6 = -75 33 = -75 + 3x + 3x Combine like terms: 3x + 3x = 6x 33 = -75 + 6x Solving 33 = -75 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 33 + -6x = -75 + 6x + -6x Combine like terms: 6x + -6x = 0 33 + -6x = -75 + 0 33 + -6x = -75 Add '-33' to each side of the equation. 33 + -33 + -6x = -75 + -33 Combine like terms: 33 + -33 = 0 0 + -6x = -75 + -33 -6x = -75 + -33 Combine like terms: -75 + -33 = -108 -6x = -108 Divide each side by '-6'. x = 18 Simplifying x = 18
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