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Simplifying 33 = 5x + -7(-2x + 17) Reorder the terms: 33 = 5x + -7(17 + -2x) 33 = 5x + (17 * -7 + -2x * -7) 33 = 5x + (-119 + 14x) Reorder the terms: 33 = -119 + 5x + 14x Combine like terms: 5x + 14x = 19x 33 = -119 + 19x Solving 33 = -119 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 33 + -19x = -119 + 19x + -19x Combine like terms: 19x + -19x = 0 33 + -19x = -119 + 0 33 + -19x = -119 Add '-33' to each side of the equation. 33 + -33 + -19x = -119 + -33 Combine like terms: 33 + -33 = 0 0 + -19x = -119 + -33 -19x = -119 + -33 Combine like terms: -119 + -33 = -152 -19x = -152 Divide each side by '-19'. x = 8 Simplifying x = 8
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