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Simplifying 2(x + -4) + -5 = 5x + -3(5 + x) Reorder the terms: 2(-4 + x) + -5 = 5x + -3(5 + x) (-4 * 2 + x * 2) + -5 = 5x + -3(5 + x) (-8 + 2x) + -5 = 5x + -3(5 + x) Reorder the terms: -8 + -5 + 2x = 5x + -3(5 + x) Combine like terms: -8 + -5 = -13 -13 + 2x = 5x + -3(5 + x) -13 + 2x = 5x + (5 * -3 + x * -3) -13 + 2x = 5x + (-15 + -3x) Reorder the terms: -13 + 2x = -15 + 5x + -3x Combine like terms: 5x + -3x = 2x -13 + 2x = -15 + 2x Add '-2x' to each side of the equation. -13 + 2x + -2x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 0 = -15 + 2x + -2x -13 = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 = -15 + 0 -13 = -15 Solving -13 = -15 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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