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Simplifying 3(4x + -1(2x + -7)) = 2(3x + -5) Reorder the terms: 3(4x + -1(-7 + 2x)) = 2(3x + -5) 3(4x + (-7 * -1 + 2x * -1)) = 2(3x + -5) 3(4x + (7 + -2x)) = 2(3x + -5) Reorder the terms: 3(7 + 4x + -2x) = 2(3x + -5) Combine like terms: 4x + -2x = 2x 3(7 + 2x) = 2(3x + -5) (7 * 3 + 2x * 3) = 2(3x + -5) (21 + 6x) = 2(3x + -5) Reorder the terms: 21 + 6x = 2(-5 + 3x) 21 + 6x = (-5 * 2 + 3x * 2) 21 + 6x = (-10 + 6x) Add '-6x' to each side of the equation. 21 + 6x + -6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 0 = -10 + 6x + -6x 21 = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 21 = -10 + 0 21 = -10 Solving 21 = -10 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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