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Simplifying 5(3x + -1) + -12x = -3(5 + -1x) + 4 Reorder the terms: 5(-1 + 3x) + -12x = -3(5 + -1x) + 4 (-1 * 5 + 3x * 5) + -12x = -3(5 + -1x) + 4 (-5 + 15x) + -12x = -3(5 + -1x) + 4 Combine like terms: 15x + -12x = 3x -5 + 3x = -3(5 + -1x) + 4 -5 + 3x = (5 * -3 + -1x * -3) + 4 -5 + 3x = (-15 + 3x) + 4 Reorder the terms: -5 + 3x = -15 + 4 + 3x Combine like terms: -15 + 4 = -11 -5 + 3x = -11 + 3x Add '-3x' to each side of the equation. -5 + 3x + -3x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 0 = -11 + 3x + -3x -5 = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 = -11 + 0 -5 = -11 Solving -5 = -11 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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