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Simplifying 6(x + 6) = 17x + -63 Reorder the terms: 6(6 + x) = 17x + -63 (6 * 6 + x * 6) = 17x + -63 (36 + 6x) = 17x + -63 Reorder the terms: 36 + 6x = -63 + 17x Solving 36 + 6x = -63 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 36 + 6x + -17x = -63 + 17x + -17x Combine like terms: 6x + -17x = -11x 36 + -11x = -63 + 17x + -17x Combine like terms: 17x + -17x = 0 36 + -11x = -63 + 0 36 + -11x = -63 Add '-36' to each side of the equation. 36 + -36 + -11x = -63 + -36 Combine like terms: 36 + -36 = 0 0 + -11x = -63 + -36 -11x = -63 + -36 Combine like terms: -63 + -36 = -99 -11x = -99 Divide each side by '-11'. x = 9 Simplifying x = 9
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