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Simplifying 6(x + 2) + -7 = 4x + 2(5 + x) Reorder the terms: 6(2 + x) + -7 = 4x + 2(5 + x) (2 * 6 + x * 6) + -7 = 4x + 2(5 + x) (12 + 6x) + -7 = 4x + 2(5 + x) Reorder the terms: 12 + -7 + 6x = 4x + 2(5 + x) Combine like terms: 12 + -7 = 5 5 + 6x = 4x + 2(5 + x) 5 + 6x = 4x + (5 * 2 + x * 2) 5 + 6x = 4x + (10 + 2x) Reorder the terms: 5 + 6x = 10 + 4x + 2x Combine like terms: 4x + 2x = 6x 5 + 6x = 10 + 6x Add '-6x' to each side of the equation. 5 + 6x + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 0 = 10 + 6x + -6x 5 = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 5 = 10 + 0 5 = 10 Solving 5 = 10 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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