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Simplifying 5(4x + 1) + -12x = 2(4x + -2) Reorder the terms: 5(1 + 4x) + -12x = 2(4x + -2) (1 * 5 + 4x * 5) + -12x = 2(4x + -2) (5 + 20x) + -12x = 2(4x + -2) Combine like terms: 20x + -12x = 8x 5 + 8x = 2(4x + -2) Reorder the terms: 5 + 8x = 2(-2 + 4x) 5 + 8x = (-2 * 2 + 4x * 2) 5 + 8x = (-4 + 8x) Add '-8x' to each side of the equation. 5 + 8x + -8x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 0 = -4 + 8x + -8x 5 = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 5 = -4 + 0 5 = -4 Solving 5 = -4 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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