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Simplifying 6 + -1(8x + 1) = 2x + -3(2 + -3x) Reorder the terms: 6 + -1(1 + 8x) = 2x + -3(2 + -3x) 6 + (1 * -1 + 8x * -1) = 2x + -3(2 + -3x) 6 + (-1 + -8x) = 2x + -3(2 + -3x) Combine like terms: 6 + -1 = 5 5 + -8x = 2x + -3(2 + -3x) 5 + -8x = 2x + (2 * -3 + -3x * -3) 5 + -8x = 2x + (-6 + 9x) Reorder the terms: 5 + -8x = -6 + 2x + 9x Combine like terms: 2x + 9x = 11x 5 + -8x = -6 + 11x Solving 5 + -8x = -6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 5 + -8x + -11x = -6 + 11x + -11x Combine like terms: -8x + -11x = -19x 5 + -19x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 5 + -19x = -6 + 0 5 + -19x = -6 Add '-5' to each side of the equation. 5 + -5 + -19x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -19x = -6 + -5 -19x = -6 + -5 Combine like terms: -6 + -5 = -11 -19x = -11 Divide each side by '-19'. x = 0.5789473684 Simplifying x = 0.5789473684
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