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