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Simplifying 5(x + -2) + -3(x + 4) = 2x + -20 Reorder the terms: 5(-2 + x) + -3(x + 4) = 2x + -20 (-2 * 5 + x * 5) + -3(x + 4) = 2x + -20 (-10 + 5x) + -3(x + 4) = 2x + -20 Reorder the terms: -10 + 5x + -3(4 + x) = 2x + -20 -10 + 5x + (4 * -3 + x * -3) = 2x + -20 -10 + 5x + (-12 + -3x) = 2x + -20 Reorder the terms: -10 + -12 + 5x + -3x = 2x + -20 Combine like terms: -10 + -12 = -22 -22 + 5x + -3x = 2x + -20 Combine like terms: 5x + -3x = 2x -22 + 2x = 2x + -20 Reorder the terms: -22 + 2x = -20 + 2x Add '-2x' to each side of the equation. -22 + 2x + -2x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 0 = -20 + 2x + -2x -22 = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 = -20 + 0 -22 = -20 Solving -22 = -20 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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