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Simplifying 3(2x + -5) = 2(4x + 2) + -2(x + 7) Reorder the terms: 3(-5 + 2x) = 2(4x + 2) + -2(x + 7) (-5 * 3 + 2x * 3) = 2(4x + 2) + -2(x + 7) (-15 + 6x) = 2(4x + 2) + -2(x + 7) Reorder the terms: -15 + 6x = 2(2 + 4x) + -2(x + 7) -15 + 6x = (2 * 2 + 4x * 2) + -2(x + 7) -15 + 6x = (4 + 8x) + -2(x + 7) Reorder the terms: -15 + 6x = 4 + 8x + -2(7 + x) -15 + 6x = 4 + 8x + (7 * -2 + x * -2) -15 + 6x = 4 + 8x + (-14 + -2x) Reorder the terms: -15 + 6x = 4 + -14 + 8x + -2x Combine like terms: 4 + -14 = -10 -15 + 6x = -10 + 8x + -2x Combine like terms: 8x + -2x = 6x -15 + 6x = -10 + 6x Add '-6x' to each side of the equation. -15 + 6x + -6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 0 = -10 + 6x + -6x -15 = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 = -10 + 0 -15 = -10 Solving -15 = -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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