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Simplifying 4x + -5 = -2(x + 4) + 6(x + 5) Reorder the terms: -5 + 4x = -2(x + 4) + 6(x + 5) Reorder the terms: -5 + 4x = -2(4 + x) + 6(x + 5) -5 + 4x = (4 * -2 + x * -2) + 6(x + 5) -5 + 4x = (-8 + -2x) + 6(x + 5) Reorder the terms: -5 + 4x = -8 + -2x + 6(5 + x) -5 + 4x = -8 + -2x + (5 * 6 + x * 6) -5 + 4x = -8 + -2x + (30 + 6x) Reorder the terms: -5 + 4x = -8 + 30 + -2x + 6x Combine like terms: -8 + 30 = 22 -5 + 4x = 22 + -2x + 6x Combine like terms: -2x + 6x = 4x -5 + 4x = 22 + 4x Add '-4x' to each side of the equation. -5 + 4x + -4x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 0 = 22 + 4x + -4x -5 = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 = 22 + 0 -5 = 22 Solving -5 = 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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