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Simplifying 4(2x + 1) + -3(x + 3) = 5(x + -2) Reorder the terms: 4(1 + 2x) + -3(x + 3) = 5(x + -2) (1 * 4 + 2x * 4) + -3(x + 3) = 5(x + -2) (4 + 8x) + -3(x + 3) = 5(x + -2) Reorder the terms: 4 + 8x + -3(3 + x) = 5(x + -2) 4 + 8x + (3 * -3 + x * -3) = 5(x + -2) 4 + 8x + (-9 + -3x) = 5(x + -2) Reorder the terms: 4 + -9 + 8x + -3x = 5(x + -2) Combine like terms: 4 + -9 = -5 -5 + 8x + -3x = 5(x + -2) Combine like terms: 8x + -3x = 5x -5 + 5x = 5(x + -2) Reorder the terms: -5 + 5x = 5(-2 + x) -5 + 5x = (-2 * 5 + x * 5) -5 + 5x = (-10 + 5x) Add '-5x' to each side of the equation. -5 + 5x + -5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 0 = -10 + 5x + -5x -5 = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 = -10 + 0 -5 = -10 Solving -5 = -10 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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