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Simplifying 7(x + -4) + 2 = 4x + 3(x + 9) Reorder the terms: 7(-4 + x) + 2 = 4x + 3(x + 9) (-4 * 7 + x * 7) + 2 = 4x + 3(x + 9) (-28 + 7x) + 2 = 4x + 3(x + 9) Reorder the terms: -28 + 2 + 7x = 4x + 3(x + 9) Combine like terms: -28 + 2 = -26 -26 + 7x = 4x + 3(x + 9) Reorder the terms: -26 + 7x = 4x + 3(9 + x) -26 + 7x = 4x + (9 * 3 + x * 3) -26 + 7x = 4x + (27 + 3x) Reorder the terms: -26 + 7x = 27 + 4x + 3x Combine like terms: 4x + 3x = 7x -26 + 7x = 27 + 7x Add '-7x' to each side of the equation. -26 + 7x + -7x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 + 0 = 27 + 7x + -7x -26 = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 = 27 + 0 -26 = 27 Solving -26 = 27 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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