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Simplifying 3x + 4(x + -8) + -1x = 0.6(10x + 15) Reorder the terms: 3x + 4(-8 + x) + -1x = 0.6(10x + 15) 3x + (-8 * 4 + x * 4) + -1x = 0.6(10x + 15) 3x + (-32 + 4x) + -1x = 0.6(10x + 15) Reorder the terms: -32 + 3x + 4x + -1x = 0.6(10x + 15) Combine like terms: 3x + 4x = 7x -32 + 7x + -1x = 0.6(10x + 15) Combine like terms: 7x + -1x = 6x -32 + 6x = 0.6(10x + 15) Reorder the terms: -32 + 6x = 0.6(15 + 10x) -32 + 6x = (15 * 0.6 + 10x * 0.6) -32 + 6x = (9 + 6x) Add '-6x' to each side of the equation. -32 + 6x + -6x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 0 = 9 + 6x + -6x -32 = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 = 9 + 0 -32 = 9 Solving -32 = 9 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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