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Simplifying [3x + (8x + 1)] = 6 + -1(2x + 4) Reorder the terms: [3x + (1 + 8x)] = 6 + -1(2x + 4) Remove parenthesis around (1 + 8x) [3x + 1 + 8x] = 6 + -1(2x + 4) Reorder the terms: [1 + 3x + 8x] = 6 + -1(2x + 4) Combine like terms: 3x + 8x = 11x [1 + 11x] = 6 + -1(2x + 4) Remove brackets around [1 + 11x] 1 + 11x = 6 + -1(2x + 4) Reorder the terms: 1 + 11x = 6 + -1(4 + 2x) 1 + 11x = 6 + (4 * -1 + 2x * -1) 1 + 11x = 6 + (-4 + -2x) Combine like terms: 6 + -4 = 2 1 + 11x = 2 + -2x Solving 1 + 11x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 11x + 2x = 2 + -2x + 2x Combine like terms: 11x + 2x = 13x 1 + 13x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 13x = 2 + 0 1 + 13x = 2 Add '-1' to each side of the equation. 1 + -1 + 13x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 2 + -1 13x = 2 + -1 Combine like terms: 2 + -1 = 1 13x = 1 Divide each side by '13'. x = 0.07692307692 Simplifying x = 0.07692307692
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