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Simplifying 5(4x + 1) + -11x = 3(3x + -4) Reorder the terms: 5(1 + 4x) + -11x = 3(3x + -4) (1 * 5 + 4x * 5) + -11x = 3(3x + -4) (5 + 20x) + -11x = 3(3x + -4) Combine like terms: 20x + -11x = 9x 5 + 9x = 3(3x + -4) Reorder the terms: 5 + 9x = 3(-4 + 3x) 5 + 9x = (-4 * 3 + 3x * 3) 5 + 9x = (-12 + 9x) Add '-9x' to each side of the equation. 5 + 9x + -9x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 0 = -12 + 9x + -9x 5 = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 5 = -12 + 0 5 = -12 Solving 5 = -12 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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