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Simplifying 117 = -3 + -8(x + -7) Reorder the terms: 117 = -3 + -8(-7 + x) 117 = -3 + (-7 * -8 + x * -8) 117 = -3 + (56 + -8x) Combine like terms: -3 + 56 = 53 117 = 53 + -8x Solving 117 = 53 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 117 + 8x = 53 + -8x + 8x Combine like terms: -8x + 8x = 0 117 + 8x = 53 + 0 117 + 8x = 53 Add '-117' to each side of the equation. 117 + -117 + 8x = 53 + -117 Combine like terms: 117 + -117 = 0 0 + 8x = 53 + -117 8x = 53 + -117 Combine like terms: 53 + -117 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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