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Simplifying 14(x + -6) + 4x = 6(3x + 2) + -11 Reorder the terms: 14(-6 + x) + 4x = 6(3x + 2) + -11 (-6 * 14 + x * 14) + 4x = 6(3x + 2) + -11 (-84 + 14x) + 4x = 6(3x + 2) + -11 Combine like terms: 14x + 4x = 18x -84 + 18x = 6(3x + 2) + -11 Reorder the terms: -84 + 18x = 6(2 + 3x) + -11 -84 + 18x = (2 * 6 + 3x * 6) + -11 -84 + 18x = (12 + 18x) + -11 Reorder the terms: -84 + 18x = 12 + -11 + 18x Combine like terms: 12 + -11 = 1 -84 + 18x = 1 + 18x Add '-18x' to each side of the equation. -84 + 18x + -18x = 1 + 18x + -18x Combine like terms: 18x + -18x = 0 -84 + 0 = 1 + 18x + -18x -84 = 1 + 18x + -18x Combine like terms: 18x + -18x = 0 -84 = 1 + 0 -84 = 1 Solving -84 = 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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