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Simplifying 5(3x + -2) = 2(4x + -3) + 7x Reorder the terms: 5(-2 + 3x) = 2(4x + -3) + 7x (-2 * 5 + 3x * 5) = 2(4x + -3) + 7x (-10 + 15x) = 2(4x + -3) + 7x Reorder the terms: -10 + 15x = 2(-3 + 4x) + 7x -10 + 15x = (-3 * 2 + 4x * 2) + 7x -10 + 15x = (-6 + 8x) + 7x Combine like terms: 8x + 7x = 15x -10 + 15x = -6 + 15x Add '-15x' to each side of the equation. -10 + 15x + -15x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + 0 = -6 + 15x + -15x -10 = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 = -6 + 0 -10 = -6 Solving -10 = -6 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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