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