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Simplifying 6 + 4(2 + -3x) + -1(7 + -6x) = 5 6 + (2 * 4 + -3x * 4) + -1(7 + -6x) = 5 6 + (8 + -12x) + -1(7 + -6x) = 5 6 + 8 + -12x + (7 * -1 + -6x * -1) = 5 6 + 8 + -12x + (-7 + 6x) = 5 Reorder the terms: 6 + 8 + -7 + -12x + 6x = 5 Combine like terms: 6 + 8 = 14 14 + -7 + -12x + 6x = 5 Combine like terms: 14 + -7 = 7 7 + -12x + 6x = 5 Combine like terms: -12x + 6x = -6x 7 + -6x = 5 Solving 7 + -6x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 5 + -7 -6x = 5 + -7 Combine like terms: 5 + -7 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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