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Simplifying 7(x + -4) + 12 = 3(x + -2) + 4x Reorder the terms: 7(-4 + x) + 12 = 3(x + -2) + 4x (-4 * 7 + x * 7) + 12 = 3(x + -2) + 4x (-28 + 7x) + 12 = 3(x + -2) + 4x Reorder the terms: -28 + 12 + 7x = 3(x + -2) + 4x Combine like terms: -28 + 12 = -16 -16 + 7x = 3(x + -2) + 4x Reorder the terms: -16 + 7x = 3(-2 + x) + 4x -16 + 7x = (-2 * 3 + x * 3) + 4x -16 + 7x = (-6 + 3x) + 4x Combine like terms: 3x + 4x = 7x -16 + 7x = -6 + 7x Add '-7x' to each side of the equation. -16 + 7x + -7x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 0 = -6 + 7x + -7x -16 = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 = -6 + 0 -16 = -6 Solving -16 = -6 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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