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Simplifying 2(x + -2) + 8x = 5(2x + 3) + -12 Reorder the terms: 2(-2 + x) + 8x = 5(2x + 3) + -12 (-2 * 2 + x * 2) + 8x = 5(2x + 3) + -12 (-4 + 2x) + 8x = 5(2x + 3) + -12 Combine like terms: 2x + 8x = 10x -4 + 10x = 5(2x + 3) + -12 Reorder the terms: -4 + 10x = 5(3 + 2x) + -12 -4 + 10x = (3 * 5 + 2x * 5) + -12 -4 + 10x = (15 + 10x) + -12 Reorder the terms: -4 + 10x = 15 + -12 + 10x Combine like terms: 15 + -12 = 3 -4 + 10x = 3 + 10x Add '-10x' to each side of the equation. -4 + 10x + -10x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 0 = 3 + 10x + -10x -4 = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 = 3 + 0 -4 = 3 Solving -4 = 3 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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