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Simplifying 7 + -1(3x + 11) = 6 + -1(15 + -9x) Reorder the terms: 7 + -1(11 + 3x) = 6 + -1(15 + -9x) 7 + (11 * -1 + 3x * -1) = 6 + -1(15 + -9x) 7 + (-11 + -3x) = 6 + -1(15 + -9x) Combine like terms: 7 + -11 = -4 -4 + -3x = 6 + -1(15 + -9x) -4 + -3x = 6 + (15 * -1 + -9x * -1) -4 + -3x = 6 + (-15 + 9x) Combine like terms: 6 + -15 = -9 -4 + -3x = -9 + 9x Solving -4 + -3x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + -3x + -9x = -9 + 9x + -9x Combine like terms: -3x + -9x = -12x -4 + -12x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -12x = -9 + 0 -4 + -12x = -9 Add '4' to each side of the equation. -4 + 4 + -12x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = -9 + 4 -12x = -9 + 4 Combine like terms: -9 + 4 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667
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