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Simplifying 6(x + -4) + 2 = 10x + -4(x + -5) Reorder the terms: 6(-4 + x) + 2 = 10x + -4(x + -5) (-4 * 6 + x * 6) + 2 = 10x + -4(x + -5) (-24 + 6x) + 2 = 10x + -4(x + -5) Reorder the terms: -24 + 2 + 6x = 10x + -4(x + -5) Combine like terms: -24 + 2 = -22 -22 + 6x = 10x + -4(x + -5) Reorder the terms: -22 + 6x = 10x + -4(-5 + x) -22 + 6x = 10x + (-5 * -4 + x * -4) -22 + 6x = 10x + (20 + -4x) Reorder the terms: -22 + 6x = 20 + 10x + -4x Combine like terms: 10x + -4x = 6x -22 + 6x = 20 + 6x Add '-6x' to each side of the equation. -22 + 6x + -6x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + 0 = 20 + 6x + -6x -22 = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 = 20 + 0 -22 = 20 Solving -22 = 20 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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