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Simplifying 7(x + 5) = 6(x + -6) + x Reorder the terms: 7(5 + x) = 6(x + -6) + x (5 * 7 + x * 7) = 6(x + -6) + x (35 + 7x) = 6(x + -6) + x Reorder the terms: 35 + 7x = 6(-6 + x) + x 35 + 7x = (-6 * 6 + x * 6) + x 35 + 7x = (-36 + 6x) + x Combine like terms: 6x + x = 7x 35 + 7x = -36 + 7x Add '-7x' to each side of the equation. 35 + 7x + -7x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + 0 = -36 + 7x + -7x 35 = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 35 = -36 + 0 35 = -36 Solving 35 = -36 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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