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Simplifying 13 + -2(3x + 8) = 7x + -1(x + 11) Reorder the terms: 13 + -2(8 + 3x) = 7x + -1(x + 11) 13 + (8 * -2 + 3x * -2) = 7x + -1(x + 11) 13 + (-16 + -6x) = 7x + -1(x + 11) Combine like terms: 13 + -16 = -3 -3 + -6x = 7x + -1(x + 11) Reorder the terms: -3 + -6x = 7x + -1(11 + x) -3 + -6x = 7x + (11 * -1 + x * -1) -3 + -6x = 7x + (-11 + -1x) Reorder the terms: -3 + -6x = -11 + 7x + -1x Combine like terms: 7x + -1x = 6x -3 + -6x = -11 + 6x Solving -3 + -6x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -6x + -6x = -11 + 6x + -6x Combine like terms: -6x + -6x = -12x -3 + -12x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -12x = -11 + 0 -3 + -12x = -11 Add '3' to each side of the equation. -3 + 3 + -12x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = -11 + 3 -12x = -11 + 3 Combine like terms: -11 + 3 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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