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Simplifying 4(x + -8) + -5(2x + 1) = 3(x + -3) + -9x Reorder the terms: 4(-8 + x) + -5(2x + 1) = 3(x + -3) + -9x (-8 * 4 + x * 4) + -5(2x + 1) = 3(x + -3) + -9x (-32 + 4x) + -5(2x + 1) = 3(x + -3) + -9x Reorder the terms: -32 + 4x + -5(1 + 2x) = 3(x + -3) + -9x -32 + 4x + (1 * -5 + 2x * -5) = 3(x + -3) + -9x -32 + 4x + (-5 + -10x) = 3(x + -3) + -9x Reorder the terms: -32 + -5 + 4x + -10x = 3(x + -3) + -9x Combine like terms: -32 + -5 = -37 -37 + 4x + -10x = 3(x + -3) + -9x Combine like terms: 4x + -10x = -6x -37 + -6x = 3(x + -3) + -9x Reorder the terms: -37 + -6x = 3(-3 + x) + -9x -37 + -6x = (-3 * 3 + x * 3) + -9x -37 + -6x = (-9 + 3x) + -9x Combine like terms: 3x + -9x = -6x -37 + -6x = -9 + -6x Add '6x' to each side of the equation. -37 + -6x + 6x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 -37 + 0 = -9 + -6x + 6x -37 = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 -37 = -9 + 0 -37 = -9 Solving -37 = -9 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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