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Simplifying 5(x + -9) + 3 = 5x + -12 Reorder the terms: 5(-9 + x) + 3 = 5x + -12 (-9 * 5 + x * 5) + 3 = 5x + -12 (-45 + 5x) + 3 = 5x + -12 Reorder the terms: -45 + 3 + 5x = 5x + -12 Combine like terms: -45 + 3 = -42 -42 + 5x = 5x + -12 Reorder the terms: -42 + 5x = -12 + 5x Add '-5x' to each side of the equation. -42 + 5x + -5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 0 = -12 + 5x + -5x -42 = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 = -12 + 0 -42 = -12 Solving -42 = -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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