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Simplifying 8(3x + -4) + -4(x + 1) = 5(5 + -2x) + 6(3 + 5x) Reorder the terms: 8(-4 + 3x) + -4(x + 1) = 5(5 + -2x) + 6(3 + 5x) (-4 * 8 + 3x * 8) + -4(x + 1) = 5(5 + -2x) + 6(3 + 5x) (-32 + 24x) + -4(x + 1) = 5(5 + -2x) + 6(3 + 5x) Reorder the terms: -32 + 24x + -4(1 + x) = 5(5 + -2x) + 6(3 + 5x) -32 + 24x + (1 * -4 + x * -4) = 5(5 + -2x) + 6(3 + 5x) -32 + 24x + (-4 + -4x) = 5(5 + -2x) + 6(3 + 5x) Reorder the terms: -32 + -4 + 24x + -4x = 5(5 + -2x) + 6(3 + 5x) Combine like terms: -32 + -4 = -36 -36 + 24x + -4x = 5(5 + -2x) + 6(3 + 5x) Combine like terms: 24x + -4x = 20x -36 + 20x = 5(5 + -2x) + 6(3 + 5x) -36 + 20x = (5 * 5 + -2x * 5) + 6(3 + 5x) -36 + 20x = (25 + -10x) + 6(3 + 5x) -36 + 20x = 25 + -10x + (3 * 6 + 5x * 6) -36 + 20x = 25 + -10x + (18 + 30x) Reorder the terms: -36 + 20x = 25 + 18 + -10x + 30x Combine like terms: 25 + 18 = 43 -36 + 20x = 43 + -10x + 30x Combine like terms: -10x + 30x = 20x -36 + 20x = 43 + 20x Add '-20x' to each side of the equation. -36 + 20x + -20x = 43 + 20x + -20x Combine like terms: 20x + -20x = 0 -36 + 0 = 43 + 20x + -20x -36 = 43 + 20x + -20x Combine like terms: 20x + -20x = 0 -36 = 43 + 0 -36 = 43 Solving -36 = 43 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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