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Simplifying 6(x + 4) = 2(3x + 3) + -7 Reorder the terms: 6(4 + x) = 2(3x + 3) + -7 (4 * 6 + x * 6) = 2(3x + 3) + -7 (24 + 6x) = 2(3x + 3) + -7 Reorder the terms: 24 + 6x = 2(3 + 3x) + -7 24 + 6x = (3 * 2 + 3x * 2) + -7 24 + 6x = (6 + 6x) + -7 Reorder the terms: 24 + 6x = 6 + -7 + 6x Combine like terms: 6 + -7 = -1 24 + 6x = -1 + 6x Add '-6x' to each side of the equation. 24 + 6x + -6x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 0 = -1 + 6x + -6x 24 = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 24 = -1 + 0 24 = -1 Solving 24 = -1 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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