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