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Simplifying 3(x + -2) + 4x + -5 = 7(x + -1) + -6 Reorder the terms: 3(-2 + x) + 4x + -5 = 7(x + -1) + -6 (-2 * 3 + x * 3) + 4x + -5 = 7(x + -1) + -6 (-6 + 3x) + 4x + -5 = 7(x + -1) + -6 Reorder the terms: -6 + -5 + 3x + 4x = 7(x + -1) + -6 Combine like terms: -6 + -5 = -11 -11 + 3x + 4x = 7(x + -1) + -6 Combine like terms: 3x + 4x = 7x -11 + 7x = 7(x + -1) + -6 Reorder the terms: -11 + 7x = 7(-1 + x) + -6 -11 + 7x = (-1 * 7 + x * 7) + -6 -11 + 7x = (-7 + 7x) + -6 Reorder the terms: -11 + 7x = -7 + -6 + 7x Combine like terms: -7 + -6 = -13 -11 + 7x = -13 + 7x Add '-7x' to each side of the equation. -11 + 7x + -7x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + 0 = -13 + 7x + -7x -11 = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 = -13 + 0 -11 = -13 Solving -11 = -13 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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