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Simplifying 6 + -1(3x + -1) + 2(7 + -2x) = 8 Reorder the terms: 6 + -1(-1 + 3x) + 2(7 + -2x) = 8 6 + (-1 * -1 + 3x * -1) + 2(7 + -2x) = 8 6 + (1 + -3x) + 2(7 + -2x) = 8 6 + 1 + -3x + (7 * 2 + -2x * 2) = 8 6 + 1 + -3x + (14 + -4x) = 8 Reorder the terms: 6 + 1 + 14 + -3x + -4x = 8 Combine like terms: 6 + 1 = 7 7 + 14 + -3x + -4x = 8 Combine like terms: 7 + 14 = 21 21 + -3x + -4x = 8 Combine like terms: -3x + -4x = -7x 21 + -7x = 8 Solving 21 + -7x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -7x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 8 + -21 -7x = 8 + -21 Combine like terms: 8 + -21 = -13 -7x = -13 Divide each side by '-7'. x = 1.857142857 Simplifying x = 1.857142857
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