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Simplifying 11(x + -7) + -12 = 17x + -137 Reorder the terms: 11(-7 + x) + -12 = 17x + -137 (-7 * 11 + x * 11) + -12 = 17x + -137 (-77 + 11x) + -12 = 17x + -137 Reorder the terms: -77 + -12 + 11x = 17x + -137 Combine like terms: -77 + -12 = -89 -89 + 11x = 17x + -137 Reorder the terms: -89 + 11x = -137 + 17x Solving -89 + 11x = -137 + 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. -89 + 11x + -17x = -137 + 17x + -17x Combine like terms: 11x + -17x = -6x -89 + -6x = -137 + 17x + -17x Combine like terms: 17x + -17x = 0 -89 + -6x = -137 + 0 -89 + -6x = -137 Add '89' to each side of the equation. -89 + 89 + -6x = -137 + 89 Combine like terms: -89 + 89 = 0 0 + -6x = -137 + 89 -6x = -137 + 89 Combine like terms: -137 + 89 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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