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Simplifying 4x + -2(x + 5) = -3x + 5(x + -1) Reorder the terms: 4x + -2(5 + x) = -3x + 5(x + -1) 4x + (5 * -2 + x * -2) = -3x + 5(x + -1) 4x + (-10 + -2x) = -3x + 5(x + -1) Reorder the terms: -10 + 4x + -2x = -3x + 5(x + -1) Combine like terms: 4x + -2x = 2x -10 + 2x = -3x + 5(x + -1) Reorder the terms: -10 + 2x = -3x + 5(-1 + x) -10 + 2x = -3x + (-1 * 5 + x * 5) -10 + 2x = -3x + (-5 + 5x) Reorder the terms: -10 + 2x = -5 + -3x + 5x Combine like terms: -3x + 5x = 2x -10 + 2x = -5 + 2x Add '-2x' to each side of the equation. -10 + 2x + -2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 0 = -5 + 2x + -2x -10 = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 = -5 + 0 -10 = -5 Solving -10 = -5 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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