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Simplifying 4(2x + -1) + -3(x + 5) = 5(x + -2) + 7 Reorder the terms: 4(-1 + 2x) + -3(x + 5) = 5(x + -2) + 7 (-1 * 4 + 2x * 4) + -3(x + 5) = 5(x + -2) + 7 (-4 + 8x) + -3(x + 5) = 5(x + -2) + 7 Reorder the terms: -4 + 8x + -3(5 + x) = 5(x + -2) + 7 -4 + 8x + (5 * -3 + x * -3) = 5(x + -2) + 7 -4 + 8x + (-15 + -3x) = 5(x + -2) + 7 Reorder the terms: -4 + -15 + 8x + -3x = 5(x + -2) + 7 Combine like terms: -4 + -15 = -19 -19 + 8x + -3x = 5(x + -2) + 7 Combine like terms: 8x + -3x = 5x -19 + 5x = 5(x + -2) + 7 Reorder the terms: -19 + 5x = 5(-2 + x) + 7 -19 + 5x = (-2 * 5 + x * 5) + 7 -19 + 5x = (-10 + 5x) + 7 Reorder the terms: -19 + 5x = -10 + 7 + 5x Combine like terms: -10 + 7 = -3 -19 + 5x = -3 + 5x Add '-5x' to each side of the equation. -19 + 5x + -5x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + 0 = -3 + 5x + -5x -19 = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 = -3 + 0 -19 = -3 Solving -19 = -3 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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