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