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Simplifying 14 + 3x = (5x + 4) + -1(2x + 11) Reorder the terms: 14 + 3x = (4 + 5x) + -1(2x + 11) Remove parenthesis around (4 + 5x) 14 + 3x = 4 + 5x + -1(2x + 11) Reorder the terms: 14 + 3x = 4 + 5x + -1(11 + 2x) 14 + 3x = 4 + 5x + (11 * -1 + 2x * -1) 14 + 3x = 4 + 5x + (-11 + -2x) Reorder the terms: 14 + 3x = 4 + -11 + 5x + -2x Combine like terms: 4 + -11 = -7 14 + 3x = -7 + 5x + -2x Combine like terms: 5x + -2x = 3x 14 + 3x = -7 + 3x Add '-3x' to each side of the equation. 14 + 3x + -3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 0 = -7 + 3x + -3x 14 = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 14 = -7 + 0 14 = -7 Solving 14 = -7 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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