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Simplifying 6(x + 3) = 4(x + -7) + 2x Reorder the terms: 6(3 + x) = 4(x + -7) + 2x (3 * 6 + x * 6) = 4(x + -7) + 2x (18 + 6x) = 4(x + -7) + 2x Reorder the terms: 18 + 6x = 4(-7 + x) + 2x 18 + 6x = (-7 * 4 + x * 4) + 2x 18 + 6x = (-28 + 4x) + 2x Combine like terms: 4x + 2x = 6x 18 + 6x = -28 + 6x Add '-6x' to each side of the equation. 18 + 6x + -6x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 0 = -28 + 6x + -6x 18 = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 18 = -28 + 0 18 = -28 Solving 18 = -28 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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