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Simplifying 2(x + -7) + 5 = -4x + 6(x + 5) Reorder the terms: 2(-7 + x) + 5 = -4x + 6(x + 5) (-7 * 2 + x * 2) + 5 = -4x + 6(x + 5) (-14 + 2x) + 5 = -4x + 6(x + 5) Reorder the terms: -14 + 5 + 2x = -4x + 6(x + 5) Combine like terms: -14 + 5 = -9 -9 + 2x = -4x + 6(x + 5) Reorder the terms: -9 + 2x = -4x + 6(5 + x) -9 + 2x = -4x + (5 * 6 + x * 6) -9 + 2x = -4x + (30 + 6x) Reorder the terms: -9 + 2x = 30 + -4x + 6x Combine like terms: -4x + 6x = 2x -9 + 2x = 30 + 2x Add '-2x' to each side of the equation. -9 + 2x + -2x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 0 = 30 + 2x + -2x -9 = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 = 30 + 0 -9 = 30 Solving -9 = 30 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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