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Simplifying 7(x + -4) + 2 = 7(x + 8) + -30 Reorder the terms: 7(-4 + x) + 2 = 7(x + 8) + -30 (-4 * 7 + x * 7) + 2 = 7(x + 8) + -30 (-28 + 7x) + 2 = 7(x + 8) + -30 Reorder the terms: -28 + 2 + 7x = 7(x + 8) + -30 Combine like terms: -28 + 2 = -26 -26 + 7x = 7(x + 8) + -30 Reorder the terms: -26 + 7x = 7(8 + x) + -30 -26 + 7x = (8 * 7 + x * 7) + -30 -26 + 7x = (56 + 7x) + -30 Reorder the terms: -26 + 7x = 56 + -30 + 7x Combine like terms: 56 + -30 = 26 -26 + 7x = 26 + 7x Add '-7x' to each side of the equation. -26 + 7x + -7x = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 + 0 = 26 + 7x + -7x -26 = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 = 26 + 0 -26 = 26 Solving -26 = 26 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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