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Simplifying 4x + 5(3x + -2) + -9x = 2(5x + 1) Reorder the terms: 4x + 5(-2 + 3x) + -9x = 2(5x + 1) 4x + (-2 * 5 + 3x * 5) + -9x = 2(5x + 1) 4x + (-10 + 15x) + -9x = 2(5x + 1) Reorder the terms: -10 + 4x + 15x + -9x = 2(5x + 1) Combine like terms: 4x + 15x = 19x -10 + 19x + -9x = 2(5x + 1) Combine like terms: 19x + -9x = 10x -10 + 10x = 2(5x + 1) Reorder the terms: -10 + 10x = 2(1 + 5x) -10 + 10x = (1 * 2 + 5x * 2) -10 + 10x = (2 + 10x) Add '-10x' to each side of the equation. -10 + 10x + -10x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + 0 = 2 + 10x + -10x -10 = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 = 2 + 0 -10 = 2 Solving -10 = 2 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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