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Simplifying 118 + -1(6x + 10) + -6(x + 5) + x = 0 Reorder the terms: 118 + -1(10 + 6x) + -6(x + 5) + x = 0 118 + (10 * -1 + 6x * -1) + -6(x + 5) + x = 0 118 + (-10 + -6x) + -6(x + 5) + x = 0 Reorder the terms: 118 + -10 + -6x + -6(5 + x) + x = 0 118 + -10 + -6x + (5 * -6 + x * -6) + x = 0 118 + -10 + -6x + (-30 + -6x) + x = 0 Reorder the terms: 118 + -10 + -30 + -6x + -6x + x = 0 Combine like terms: 118 + -10 = 108 108 + -30 + -6x + -6x + x = 0 Combine like terms: 108 + -30 = 78 78 + -6x + -6x + x = 0 Combine like terms: -6x + -6x = -12x 78 + -12x + x = 0 Combine like terms: -12x + x = -11x 78 + -11x = 0 Solving 78 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + -11x = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -11x = 0 + -78 -11x = 0 + -78 Combine like terms: 0 + -78 = -78 -11x = -78 Divide each side by '-11'. x = 7.090909091 Simplifying x = 7.090909091
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