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Simplifying 3(x + -2) + 5(x + 1) = 2(2x + 7) + 4(x + 2) Reorder the terms: 3(-2 + x) + 5(x + 1) = 2(2x + 7) + 4(x + 2) (-2 * 3 + x * 3) + 5(x + 1) = 2(2x + 7) + 4(x + 2) (-6 + 3x) + 5(x + 1) = 2(2x + 7) + 4(x + 2) Reorder the terms: -6 + 3x + 5(1 + x) = 2(2x + 7) + 4(x + 2) -6 + 3x + (1 * 5 + x * 5) = 2(2x + 7) + 4(x + 2) -6 + 3x + (5 + 5x) = 2(2x + 7) + 4(x + 2) Reorder the terms: -6 + 5 + 3x + 5x = 2(2x + 7) + 4(x + 2) Combine like terms: -6 + 5 = -1 -1 + 3x + 5x = 2(2x + 7) + 4(x + 2) Combine like terms: 3x + 5x = 8x -1 + 8x = 2(2x + 7) + 4(x + 2) Reorder the terms: -1 + 8x = 2(7 + 2x) + 4(x + 2) -1 + 8x = (7 * 2 + 2x * 2) + 4(x + 2) -1 + 8x = (14 + 4x) + 4(x + 2) Reorder the terms: -1 + 8x = 14 + 4x + 4(2 + x) -1 + 8x = 14 + 4x + (2 * 4 + x * 4) -1 + 8x = 14 + 4x + (8 + 4x) Reorder the terms: -1 + 8x = 14 + 8 + 4x + 4x Combine like terms: 14 + 8 = 22 -1 + 8x = 22 + 4x + 4x Combine like terms: 4x + 4x = 8x -1 + 8x = 22 + 8x Add '-8x' to each side of the equation. -1 + 8x + -8x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 0 = 22 + 8x + -8x -1 = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 = 22 + 0 -1 = 22 Solving -1 = 22 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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