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