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Simplifying 2(2x + -4) + 3(x + 1) = 7(x + -1) Reorder the terms: 2(-4 + 2x) + 3(x + 1) = 7(x + -1) (-4 * 2 + 2x * 2) + 3(x + 1) = 7(x + -1) (-8 + 4x) + 3(x + 1) = 7(x + -1) Reorder the terms: -8 + 4x + 3(1 + x) = 7(x + -1) -8 + 4x + (1 * 3 + x * 3) = 7(x + -1) -8 + 4x + (3 + 3x) = 7(x + -1) Reorder the terms: -8 + 3 + 4x + 3x = 7(x + -1) Combine like terms: -8 + 3 = -5 -5 + 4x + 3x = 7(x + -1) Combine like terms: 4x + 3x = 7x -5 + 7x = 7(x + -1) Reorder the terms: -5 + 7x = 7(-1 + x) -5 + 7x = (-1 * 7 + x * 7) -5 + 7x = (-7 + 7x) Add '-7x' to each side of the equation. -5 + 7x + -7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 0 = -7 + 7x + -7x -5 = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 = -7 + 0 -5 = -7 Solving -5 = -7 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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