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Simplifying 3(2x + 4) + -4(3x + -3) = 7 + -2(3x + 2) Reorder the terms: 3(4 + 2x) + -4(3x + -3) = 7 + -2(3x + 2) (4 * 3 + 2x * 3) + -4(3x + -3) = 7 + -2(3x + 2) (12 + 6x) + -4(3x + -3) = 7 + -2(3x + 2) Reorder the terms: 12 + 6x + -4(-3 + 3x) = 7 + -2(3x + 2) 12 + 6x + (-3 * -4 + 3x * -4) = 7 + -2(3x + 2) 12 + 6x + (12 + -12x) = 7 + -2(3x + 2) Reorder the terms: 12 + 12 + 6x + -12x = 7 + -2(3x + 2) Combine like terms: 12 + 12 = 24 24 + 6x + -12x = 7 + -2(3x + 2) Combine like terms: 6x + -12x = -6x 24 + -6x = 7 + -2(3x + 2) Reorder the terms: 24 + -6x = 7 + -2(2 + 3x) 24 + -6x = 7 + (2 * -2 + 3x * -2) 24 + -6x = 7 + (-4 + -6x) Combine like terms: 7 + -4 = 3 24 + -6x = 3 + -6x Add '6x' to each side of the equation. 24 + -6x + 6x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + 0 = 3 + -6x + 6x 24 = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 24 = 3 + 0 24 = 3 Solving 24 = 3 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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