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Simplifying 9x + -5(2x + 1) = 2(3x + -6) + -7x Reorder the terms: 9x + -5(1 + 2x) = 2(3x + -6) + -7x 9x + (1 * -5 + 2x * -5) = 2(3x + -6) + -7x 9x + (-5 + -10x) = 2(3x + -6) + -7x Reorder the terms: -5 + 9x + -10x = 2(3x + -6) + -7x Combine like terms: 9x + -10x = -1x -5 + -1x = 2(3x + -6) + -7x Reorder the terms: -5 + -1x = 2(-6 + 3x) + -7x -5 + -1x = (-6 * 2 + 3x * 2) + -7x -5 + -1x = (-12 + 6x) + -7x Combine like terms: 6x + -7x = -1x -5 + -1x = -12 + -1x Add 'x' to each side of the equation. -5 + -1x + x = -12 + -1x + x Combine like terms: -1x + x = 0 -5 + 0 = -12 + -1x + x -5 = -12 + -1x + x Combine like terms: -1x + x = 0 -5 = -12 + 0 -5 = -12 Solving -5 = -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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