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