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Simplifying 12(x + -11) + -5 = 17x + -157 Reorder the terms: 12(-11 + x) + -5 = 17x + -157 (-11 * 12 + x * 12) + -5 = 17x + -157 (-132 + 12x) + -5 = 17x + -157 Reorder the terms: -132 + -5 + 12x = 17x + -157 Combine like terms: -132 + -5 = -137 -137 + 12x = 17x + -157 Reorder the terms: -137 + 12x = -157 + 17x Solving -137 + 12x = -157 + 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. -137 + 12x + -17x = -157 + 17x + -17x Combine like terms: 12x + -17x = -5x -137 + -5x = -157 + 17x + -17x Combine like terms: 17x + -17x = 0 -137 + -5x = -157 + 0 -137 + -5x = -157 Add '137' to each side of the equation. -137 + 137 + -5x = -157 + 137 Combine like terms: -137 + 137 = 0 0 + -5x = -157 + 137 -5x = -157 + 137 Combine like terms: -157 + 137 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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