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Simplifying 12x + -5(x + 3) = 4(3x + -3) + -5(x + -4) Reorder the terms: 12x + -5(3 + x) = 4(3x + -3) + -5(x + -4) 12x + (3 * -5 + x * -5) = 4(3x + -3) + -5(x + -4) 12x + (-15 + -5x) = 4(3x + -3) + -5(x + -4) Reorder the terms: -15 + 12x + -5x = 4(3x + -3) + -5(x + -4) Combine like terms: 12x + -5x = 7x -15 + 7x = 4(3x + -3) + -5(x + -4) Reorder the terms: -15 + 7x = 4(-3 + 3x) + -5(x + -4) -15 + 7x = (-3 * 4 + 3x * 4) + -5(x + -4) -15 + 7x = (-12 + 12x) + -5(x + -4) Reorder the terms: -15 + 7x = -12 + 12x + -5(-4 + x) -15 + 7x = -12 + 12x + (-4 * -5 + x * -5) -15 + 7x = -12 + 12x + (20 + -5x) Reorder the terms: -15 + 7x = -12 + 20 + 12x + -5x Combine like terms: -12 + 20 = 8 -15 + 7x = 8 + 12x + -5x Combine like terms: 12x + -5x = 7x -15 + 7x = 8 + 7x Add '-7x' to each side of the equation. -15 + 7x + -7x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 0 = 8 + 7x + -7x -15 = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 = 8 + 0 -15 = 8 Solving -15 = 8 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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