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Simplifying -5(x + 2) = 8(2x + -4) + -3(7x + 8) Reorder the terms: -5(2 + x) = 8(2x + -4) + -3(7x + 8) (2 * -5 + x * -5) = 8(2x + -4) + -3(7x + 8) (-10 + -5x) = 8(2x + -4) + -3(7x + 8) Reorder the terms: -10 + -5x = 8(-4 + 2x) + -3(7x + 8) -10 + -5x = (-4 * 8 + 2x * 8) + -3(7x + 8) -10 + -5x = (-32 + 16x) + -3(7x + 8) Reorder the terms: -10 + -5x = -32 + 16x + -3(8 + 7x) -10 + -5x = -32 + 16x + (8 * -3 + 7x * -3) -10 + -5x = -32 + 16x + (-24 + -21x) Reorder the terms: -10 + -5x = -32 + -24 + 16x + -21x Combine like terms: -32 + -24 = -56 -10 + -5x = -56 + 16x + -21x Combine like terms: 16x + -21x = -5x -10 + -5x = -56 + -5x Add '5x' to each side of the equation. -10 + -5x + 5x = -56 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 0 = -56 + -5x + 5x -10 = -56 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 = -56 + 0 -10 = -56 Solving -10 = -56 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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