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Simplifying -2x + 3(-7x + 17) = -133 Reorder the terms: -2x + 3(17 + -7x) = -133 -2x + (17 * 3 + -7x * 3) = -133 -2x + (51 + -21x) = -133 Reorder the terms: 51 + -2x + -21x = -133 Combine like terms: -2x + -21x = -23x 51 + -23x = -133 Solving 51 + -23x = -133 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -23x = -133 + -51 Combine like terms: 51 + -51 = 0 0 + -23x = -133 + -51 -23x = -133 + -51 Combine like terms: -133 + -51 = -184 -23x = -184 Divide each side by '-23'. x = 8 Simplifying x = 8
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