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Simplifying 6(x + 3) + 7 = 9x + -3(x + -4) Reorder the terms: 6(3 + x) + 7 = 9x + -3(x + -4) (3 * 6 + x * 6) + 7 = 9x + -3(x + -4) (18 + 6x) + 7 = 9x + -3(x + -4) Reorder the terms: 18 + 7 + 6x = 9x + -3(x + -4) Combine like terms: 18 + 7 = 25 25 + 6x = 9x + -3(x + -4) Reorder the terms: 25 + 6x = 9x + -3(-4 + x) 25 + 6x = 9x + (-4 * -3 + x * -3) 25 + 6x = 9x + (12 + -3x) Reorder the terms: 25 + 6x = 12 + 9x + -3x Combine like terms: 9x + -3x = 6x 25 + 6x = 12 + 6x Add '-6x' to each side of the equation. 25 + 6x + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 0 = 12 + 6x + -6x 25 = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 25 = 12 + 0 25 = 12 Solving 25 = 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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