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Simplifying 2(x + -3) + 8x = 5(2x + 4) + -10 Reorder the terms: 2(-3 + x) + 8x = 5(2x + 4) + -10 (-3 * 2 + x * 2) + 8x = 5(2x + 4) + -10 (-6 + 2x) + 8x = 5(2x + 4) + -10 Combine like terms: 2x + 8x = 10x -6 + 10x = 5(2x + 4) + -10 Reorder the terms: -6 + 10x = 5(4 + 2x) + -10 -6 + 10x = (4 * 5 + 2x * 5) + -10 -6 + 10x = (20 + 10x) + -10 Reorder the terms: -6 + 10x = 20 + -10 + 10x Combine like terms: 20 + -10 = 10 -6 + 10x = 10 + 10x Add '-10x' to each side of the equation. -6 + 10x + -10x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 0 = 10 + 10x + -10x -6 = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 = 10 + 0 -6 = 10 Solving -6 = 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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