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Simplifying -3x + 4(2x + -5) + -3(2x + 1) = 7x + -4(2x + -3) Reorder the terms: -3x + 4(-5 + 2x) + -3(2x + 1) = 7x + -4(2x + -3) -3x + (-5 * 4 + 2x * 4) + -3(2x + 1) = 7x + -4(2x + -3) -3x + (-20 + 8x) + -3(2x + 1) = 7x + -4(2x + -3) Reorder the terms: -3x + -20 + 8x + -3(1 + 2x) = 7x + -4(2x + -3) -3x + -20 + 8x + (1 * -3 + 2x * -3) = 7x + -4(2x + -3) -3x + -20 + 8x + (-3 + -6x) = 7x + -4(2x + -3) Reorder the terms: -20 + -3 + -3x + 8x + -6x = 7x + -4(2x + -3) Combine like terms: -20 + -3 = -23 -23 + -3x + 8x + -6x = 7x + -4(2x + -3) Combine like terms: -3x + 8x = 5x -23 + 5x + -6x = 7x + -4(2x + -3) Combine like terms: 5x + -6x = -1x -23 + -1x = 7x + -4(2x + -3) Reorder the terms: -23 + -1x = 7x + -4(-3 + 2x) -23 + -1x = 7x + (-3 * -4 + 2x * -4) -23 + -1x = 7x + (12 + -8x) Reorder the terms: -23 + -1x = 12 + 7x + -8x Combine like terms: 7x + -8x = -1x -23 + -1x = 12 + -1x Add 'x' to each side of the equation. -23 + -1x + x = 12 + -1x + x Combine like terms: -1x + x = 0 -23 + 0 = 12 + -1x + x -23 = 12 + -1x + x Combine like terms: -1x + x = 0 -23 = 12 + 0 -23 = 12 Solving -23 = 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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