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Simplifying 8x + -3(7x + -3) = 7x + 8 + -1(-6x + 11) Reorder the terms: 8x + -3(-3 + 7x) = 7x + 8 + -1(-6x + 11) 8x + (-3 * -3 + 7x * -3) = 7x + 8 + -1(-6x + 11) 8x + (9 + -21x) = 7x + 8 + -1(-6x + 11) Reorder the terms: 9 + 8x + -21x = 7x + 8 + -1(-6x + 11) Combine like terms: 8x + -21x = -13x 9 + -13x = 7x + 8 + -1(-6x + 11) Reorder the terms: 9 + -13x = 7x + 8 + -1(11 + -6x) 9 + -13x = 7x + 8 + (11 * -1 + -6x * -1) 9 + -13x = 7x + 8 + (-11 + 6x) Reorder the terms: 9 + -13x = 8 + -11 + 7x + 6x Combine like terms: 8 + -11 = -3 9 + -13x = -3 + 7x + 6x Combine like terms: 7x + 6x = 13x 9 + -13x = -3 + 13x Solving 9 + -13x = -3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 9 + -13x + -13x = -3 + 13x + -13x Combine like terms: -13x + -13x = -26x 9 + -26x = -3 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + -26x = -3 + 0 9 + -26x = -3 Add '-9' to each side of the equation. 9 + -9 + -26x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -26x = -3 + -9 -26x = -3 + -9 Combine like terms: -3 + -9 = -12 -26x = -12 Divide each side by '-26'. x = 0.4615384615 Simplifying x = 0.4615384615
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