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Simplifying 4(2x + 1) + -1(5x + 7) = 3(x + -2) + 10 Reorder the terms: 4(1 + 2x) + -1(5x + 7) = 3(x + -2) + 10 (1 * 4 + 2x * 4) + -1(5x + 7) = 3(x + -2) + 10 (4 + 8x) + -1(5x + 7) = 3(x + -2) + 10 Reorder the terms: 4 + 8x + -1(7 + 5x) = 3(x + -2) + 10 4 + 8x + (7 * -1 + 5x * -1) = 3(x + -2) + 10 4 + 8x + (-7 + -5x) = 3(x + -2) + 10 Reorder the terms: 4 + -7 + 8x + -5x = 3(x + -2) + 10 Combine like terms: 4 + -7 = -3 -3 + 8x + -5x = 3(x + -2) + 10 Combine like terms: 8x + -5x = 3x -3 + 3x = 3(x + -2) + 10 Reorder the terms: -3 + 3x = 3(-2 + x) + 10 -3 + 3x = (-2 * 3 + x * 3) + 10 -3 + 3x = (-6 + 3x) + 10 Reorder the terms: -3 + 3x = -6 + 10 + 3x Combine like terms: -6 + 10 = 4 -3 + 3x = 4 + 3x Add '-3x' to each side of the equation. -3 + 3x + -3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 0 = 4 + 3x + -3x -3 = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 = 4 + 0 -3 = 4 Solving -3 = 4 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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