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Simplifying 2x + 5(x + -6) = x + 6(x + 1) Reorder the terms: 2x + 5(-6 + x) = x + 6(x + 1) 2x + (-6 * 5 + x * 5) = x + 6(x + 1) 2x + (-30 + 5x) = x + 6(x + 1) Reorder the terms: -30 + 2x + 5x = x + 6(x + 1) Combine like terms: 2x + 5x = 7x -30 + 7x = x + 6(x + 1) Reorder the terms: -30 + 7x = x + 6(1 + x) -30 + 7x = x + (1 * 6 + x * 6) -30 + 7x = x + (6 + 6x) Reorder the terms: -30 + 7x = 6 + x + 6x Combine like terms: x + 6x = 7x -30 + 7x = 6 + 7x Add '-7x' to each side of the equation. -30 + 7x + -7x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 0 = 6 + 7x + -7x -30 = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 = 6 + 0 -30 = 6 Solving -30 = 6 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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