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Simplifying 3x + -12 = 9(2x + -3) + 3(-5x + -5) Reorder the terms: -12 + 3x = 9(2x + -3) + 3(-5x + -5) Reorder the terms: -12 + 3x = 9(-3 + 2x) + 3(-5x + -5) -12 + 3x = (-3 * 9 + 2x * 9) + 3(-5x + -5) -12 + 3x = (-27 + 18x) + 3(-5x + -5) Reorder the terms: -12 + 3x = -27 + 18x + 3(-5 + -5x) -12 + 3x = -27 + 18x + (-5 * 3 + -5x * 3) -12 + 3x = -27 + 18x + (-15 + -15x) Reorder the terms: -12 + 3x = -27 + -15 + 18x + -15x Combine like terms: -27 + -15 = -42 -12 + 3x = -42 + 18x + -15x Combine like terms: 18x + -15x = 3x -12 + 3x = -42 + 3x Add '-3x' to each side of the equation. -12 + 3x + -3x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 0 = -42 + 3x + -3x -12 = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 = -42 + 0 -12 = -42 Solving -12 = -42 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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