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Simplifying 511 = -7(9x + 17) Reorder the terms: 511 = -7(17 + 9x) 511 = (17 * -7 + 9x * -7) 511 = (-119 + -63x) Solving 511 = -119 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 511 + 63x = -119 + -63x + 63x Combine like terms: -63x + 63x = 0 511 + 63x = -119 + 0 511 + 63x = -119 Add '-511' to each side of the equation. 511 + -511 + 63x = -119 + -511 Combine like terms: 511 + -511 = 0 0 + 63x = -119 + -511 63x = -119 + -511 Combine like terms: -119 + -511 = -630 63x = -630 Divide each side by '63'. x = -10 Simplifying x = -10
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