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Simplifying 8x + -7(2 + -1x) = 2(x + 6) 8x + (2 * -7 + -1x * -7) = 2(x + 6) 8x + (-14 + 7x) = 2(x + 6) Reorder the terms: -14 + 8x + 7x = 2(x + 6) Combine like terms: 8x + 7x = 15x -14 + 15x = 2(x + 6) Reorder the terms: -14 + 15x = 2(6 + x) -14 + 15x = (6 * 2 + x * 2) -14 + 15x = (12 + 2x) Solving -14 + 15x = 12 + 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. -14 + 15x + -2x = 12 + 2x + -2x Combine like terms: 15x + -2x = 13x -14 + 13x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 13x = 12 + 0 -14 + 13x = 12 Add '14' to each side of the equation. -14 + 14 + 13x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 13x = 12 + 14 13x = 12 + 14 Combine like terms: 12 + 14 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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