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Simplifying 4[x + -3] + 2x = 6[x + -6] Reorder the terms: 4[-3 + x] + 2x = 6[x + -6] [-3 * 4 + x * 4] + 2x = 6[x + -6] [-12 + 4x] + 2x = 6[x + -6] Combine like terms: 4x + 2x = 6x -12 + 6x = 6[x + -6] Reorder the terms: -12 + 6x = 6[-6 + x] -12 + 6x = [-6 * 6 + x * 6] -12 + 6x = [-36 + 6x] Add '-6x' to each side of the equation. -12 + 6x + -6x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 0 = -36 + 6x + -6x -12 = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 = -36 + 0 -12 = -36 Solving -12 = -36 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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