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Simplifying 6x + -4(x + 7) = 5 + 2(x + 6) Reorder the terms: 6x + -4(7 + x) = 5 + 2(x + 6) 6x + (7 * -4 + x * -4) = 5 + 2(x + 6) 6x + (-28 + -4x) = 5 + 2(x + 6) Reorder the terms: -28 + 6x + -4x = 5 + 2(x + 6) Combine like terms: 6x + -4x = 2x -28 + 2x = 5 + 2(x + 6) Reorder the terms: -28 + 2x = 5 + 2(6 + x) -28 + 2x = 5 + (6 * 2 + x * 2) -28 + 2x = 5 + (12 + 2x) Combine like terms: 5 + 12 = 17 -28 + 2x = 17 + 2x Add '-2x' to each side of the equation. -28 + 2x + -2x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 0 = 17 + 2x + -2x -28 = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 = 17 + 0 -28 = 17 Solving -28 = 17 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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