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