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Simplifying 3(x + 2) + 4x + -5 = 7(x + 4) + -6 Reorder the terms: 3(2 + x) + 4x + -5 = 7(x + 4) + -6 (2 * 3 + x * 3) + 4x + -5 = 7(x + 4) + -6 (6 + 3x) + 4x + -5 = 7(x + 4) + -6 Reorder the terms: 6 + -5 + 3x + 4x = 7(x + 4) + -6 Combine like terms: 6 + -5 = 1 1 + 3x + 4x = 7(x + 4) + -6 Combine like terms: 3x + 4x = 7x 1 + 7x = 7(x + 4) + -6 Reorder the terms: 1 + 7x = 7(4 + x) + -6 1 + 7x = (4 * 7 + x * 7) + -6 1 + 7x = (28 + 7x) + -6 Reorder the terms: 1 + 7x = 28 + -6 + 7x Combine like terms: 28 + -6 = 22 1 + 7x = 22 + 7x Add '-7x' to each side of the equation. 1 + 7x + -7x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 0 = 22 + 7x + -7x 1 = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 1 = 22 + 0 1 = 22 Solving 1 = 22 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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