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Simplifying 2(4x + -3) + 2x = 2(5x + -6) Reorder the terms: 2(-3 + 4x) + 2x = 2(5x + -6) (-3 * 2 + 4x * 2) + 2x = 2(5x + -6) (-6 + 8x) + 2x = 2(5x + -6) Combine like terms: 8x + 2x = 10x -6 + 10x = 2(5x + -6) Reorder the terms: -6 + 10x = 2(-6 + 5x) -6 + 10x = (-6 * 2 + 5x * 2) -6 + 10x = (-12 + 10x) Add '-10x' to each side of the equation. -6 + 10x + -10x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 0 = -12 + 10x + -10x -6 = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 = -12 + 0 -6 = -12 Solving -6 = -12 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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