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Simplifying 10x + -6(x + 4) = 5(2x + -4) + -6(x + -5) Reorder the terms: 10x + -6(4 + x) = 5(2x + -4) + -6(x + -5) 10x + (4 * -6 + x * -6) = 5(2x + -4) + -6(x + -5) 10x + (-24 + -6x) = 5(2x + -4) + -6(x + -5) Reorder the terms: -24 + 10x + -6x = 5(2x + -4) + -6(x + -5) Combine like terms: 10x + -6x = 4x -24 + 4x = 5(2x + -4) + -6(x + -5) Reorder the terms: -24 + 4x = 5(-4 + 2x) + -6(x + -5) -24 + 4x = (-4 * 5 + 2x * 5) + -6(x + -5) -24 + 4x = (-20 + 10x) + -6(x + -5) Reorder the terms: -24 + 4x = -20 + 10x + -6(-5 + x) -24 + 4x = -20 + 10x + (-5 * -6 + x * -6) -24 + 4x = -20 + 10x + (30 + -6x) Reorder the terms: -24 + 4x = -20 + 30 + 10x + -6x Combine like terms: -20 + 30 = 10 -24 + 4x = 10 + 10x + -6x Combine like terms: 10x + -6x = 4x -24 + 4x = 10 + 4x Add '-4x' to each side of the equation. -24 + 4x + -4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 0 = 10 + 4x + -4x -24 = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 = 10 + 0 -24 = 10 Solving -24 = 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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