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Simplifying 2(-3x + 5) + -12 = 9x + -3(5x + 4) Reorder the terms: 2(5 + -3x) + -12 = 9x + -3(5x + 4) (5 * 2 + -3x * 2) + -12 = 9x + -3(5x + 4) (10 + -6x) + -12 = 9x + -3(5x + 4) Reorder the terms: 10 + -12 + -6x = 9x + -3(5x + 4) Combine like terms: 10 + -12 = -2 -2 + -6x = 9x + -3(5x + 4) Reorder the terms: -2 + -6x = 9x + -3(4 + 5x) -2 + -6x = 9x + (4 * -3 + 5x * -3) -2 + -6x = 9x + (-12 + -15x) Reorder the terms: -2 + -6x = -12 + 9x + -15x Combine like terms: 9x + -15x = -6x -2 + -6x = -12 + -6x Add '6x' to each side of the equation. -2 + -6x + 6x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 0 = -12 + -6x + 6x -2 = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 = -12 + 0 -2 = -12 Solving -2 = -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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