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Simplifying 3(2x + -4) + 1 = 6 + 2(3x + -5) Reorder the terms: 3(-4 + 2x) + 1 = 6 + 2(3x + -5) (-4 * 3 + 2x * 3) + 1 = 6 + 2(3x + -5) (-12 + 6x) + 1 = 6 + 2(3x + -5) Reorder the terms: -12 + 1 + 6x = 6 + 2(3x + -5) Combine like terms: -12 + 1 = -11 -11 + 6x = 6 + 2(3x + -5) Reorder the terms: -11 + 6x = 6 + 2(-5 + 3x) -11 + 6x = 6 + (-5 * 2 + 3x * 2) -11 + 6x = 6 + (-10 + 6x) Combine like terms: 6 + -10 = -4 -11 + 6x = -4 + 6x Add '-6x' to each side of the equation. -11 + 6x + -6x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + 0 = -4 + 6x + -6x -11 = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 = -4 + 0 -11 = -4 Solving -11 = -4 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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