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Simplifying 7(x + -4) + 5x = 6(2x + 2) + -11 Reorder the terms: 7(-4 + x) + 5x = 6(2x + 2) + -11 (-4 * 7 + x * 7) + 5x = 6(2x + 2) + -11 (-28 + 7x) + 5x = 6(2x + 2) + -11 Combine like terms: 7x + 5x = 12x -28 + 12x = 6(2x + 2) + -11 Reorder the terms: -28 + 12x = 6(2 + 2x) + -11 -28 + 12x = (2 * 6 + 2x * 6) + -11 -28 + 12x = (12 + 12x) + -11 Reorder the terms: -28 + 12x = 12 + -11 + 12x Combine like terms: 12 + -11 = 1 -28 + 12x = 1 + 12x Add '-12x' to each side of the equation. -28 + 12x + -12x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -28 + 0 = 1 + 12x + -12x -28 = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -28 = 1 + 0 -28 = 1 Solving -28 = 1 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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