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Simplifying 10(x + -4) + -2x = 4x + 2(2x + 10) + 20 Reorder the terms: 10(-4 + x) + -2x = 4x + 2(2x + 10) + 20 (-4 * 10 + x * 10) + -2x = 4x + 2(2x + 10) + 20 (-40 + 10x) + -2x = 4x + 2(2x + 10) + 20 Combine like terms: 10x + -2x = 8x -40 + 8x = 4x + 2(2x + 10) + 20 Reorder the terms: -40 + 8x = 4x + 2(10 + 2x) + 20 -40 + 8x = 4x + (10 * 2 + 2x * 2) + 20 -40 + 8x = 4x + (20 + 4x) + 20 Reorder the terms: -40 + 8x = 20 + 20 + 4x + 4x Combine like terms: 20 + 20 = 40 -40 + 8x = 40 + 4x + 4x Combine like terms: 4x + 4x = 8x -40 + 8x = 40 + 8x Add '-8x' to each side of the equation. -40 + 8x + -8x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 0 = 40 + 8x + -8x -40 = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 = 40 + 0 -40 = 40 Solving -40 = 40 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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