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Simplifying 4(x + 5) + 2 = 8x + -4(x + -4) Reorder the terms: 4(5 + x) + 2 = 8x + -4(x + -4) (5 * 4 + x * 4) + 2 = 8x + -4(x + -4) (20 + 4x) + 2 = 8x + -4(x + -4) Reorder the terms: 20 + 2 + 4x = 8x + -4(x + -4) Combine like terms: 20 + 2 = 22 22 + 4x = 8x + -4(x + -4) Reorder the terms: 22 + 4x = 8x + -4(-4 + x) 22 + 4x = 8x + (-4 * -4 + x * -4) 22 + 4x = 8x + (16 + -4x) Reorder the terms: 22 + 4x = 16 + 8x + -4x Combine like terms: 8x + -4x = 4x 22 + 4x = 16 + 4x Add '-4x' to each side of the equation. 22 + 4x + -4x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 0 = 16 + 4x + -4x 22 = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 22 = 16 + 0 22 = 16 Solving 22 = 16 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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