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Simplifying 6(x + -12) + 5(x + -13) = 6 Reorder the terms: 6(-12 + x) + 5(x + -13) = 6 (-12 * 6 + x * 6) + 5(x + -13) = 6 (-72 + 6x) + 5(x + -13) = 6 Reorder the terms: -72 + 6x + 5(-13 + x) = 6 -72 + 6x + (-13 * 5 + x * 5) = 6 -72 + 6x + (-65 + 5x) = 6 Reorder the terms: -72 + -65 + 6x + 5x = 6 Combine like terms: -72 + -65 = -137 -137 + 6x + 5x = 6 Combine like terms: 6x + 5x = 11x -137 + 11x = 6 Solving -137 + 11x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '137' to each side of the equation. -137 + 137 + 11x = 6 + 137 Combine like terms: -137 + 137 = 0 0 + 11x = 6 + 137 11x = 6 + 137 Combine like terms: 6 + 137 = 143 11x = 143 Divide each side by '11'. x = 13 Simplifying x = 13
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