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Simplifying 3(x + 6) + 7 = 7x + -4(x + -4) Reorder the terms: 3(6 + x) + 7 = 7x + -4(x + -4) (6 * 3 + x * 3) + 7 = 7x + -4(x + -4) (18 + 3x) + 7 = 7x + -4(x + -4) Reorder the terms: 18 + 7 + 3x = 7x + -4(x + -4) Combine like terms: 18 + 7 = 25 25 + 3x = 7x + -4(x + -4) Reorder the terms: 25 + 3x = 7x + -4(-4 + x) 25 + 3x = 7x + (-4 * -4 + x * -4) 25 + 3x = 7x + (16 + -4x) Reorder the terms: 25 + 3x = 16 + 7x + -4x Combine like terms: 7x + -4x = 3x 25 + 3x = 16 + 3x Add '-3x' to each side of the equation. 25 + 3x + -3x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 0 = 16 + 3x + -3x 25 = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 25 = 16 + 0 25 = 16 Solving 25 = 16 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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