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Simplifying 5(3x + -4) = 12(x + 1) + 3x Reorder the terms: 5(-4 + 3x) = 12(x + 1) + 3x (-4 * 5 + 3x * 5) = 12(x + 1) + 3x (-20 + 15x) = 12(x + 1) + 3x Reorder the terms: -20 + 15x = 12(1 + x) + 3x -20 + 15x = (1 * 12 + x * 12) + 3x -20 + 15x = (12 + 12x) + 3x Combine like terms: 12x + 3x = 15x -20 + 15x = 12 + 15x Add '-15x' to each side of the equation. -20 + 15x + -15x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + 0 = 12 + 15x + -15x -20 = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 = 12 + 0 -20 = 12 Solving -20 = 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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