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Simplifying -5(x + 1) + 4(2x + -3) = 3(x + 2) + -8 Reorder the terms: -5(1 + x) + 4(2x + -3) = 3(x + 2) + -8 (1 * -5 + x * -5) + 4(2x + -3) = 3(x + 2) + -8 (-5 + -5x) + 4(2x + -3) = 3(x + 2) + -8 Reorder the terms: -5 + -5x + 4(-3 + 2x) = 3(x + 2) + -8 -5 + -5x + (-3 * 4 + 2x * 4) = 3(x + 2) + -8 -5 + -5x + (-12 + 8x) = 3(x + 2) + -8 Reorder the terms: -5 + -12 + -5x + 8x = 3(x + 2) + -8 Combine like terms: -5 + -12 = -17 -17 + -5x + 8x = 3(x + 2) + -8 Combine like terms: -5x + 8x = 3x -17 + 3x = 3(x + 2) + -8 Reorder the terms: -17 + 3x = 3(2 + x) + -8 -17 + 3x = (2 * 3 + x * 3) + -8 -17 + 3x = (6 + 3x) + -8 Reorder the terms: -17 + 3x = 6 + -8 + 3x Combine like terms: 6 + -8 = -2 -17 + 3x = -2 + 3x Add '-3x' to each side of the equation. -17 + 3x + -3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 0 = -2 + 3x + -3x -17 = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 = -2 + 0 -17 = -2 Solving -17 = -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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