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