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Simplifying 3x + 14 = 5(x + -2) + -2(x + 7) Reorder the terms: 14 + 3x = 5(x + -2) + -2(x + 7) Reorder the terms: 14 + 3x = 5(-2 + x) + -2(x + 7) 14 + 3x = (-2 * 5 + x * 5) + -2(x + 7) 14 + 3x = (-10 + 5x) + -2(x + 7) Reorder the terms: 14 + 3x = -10 + 5x + -2(7 + x) 14 + 3x = -10 + 5x + (7 * -2 + x * -2) 14 + 3x = -10 + 5x + (-14 + -2x) Reorder the terms: 14 + 3x = -10 + -14 + 5x + -2x Combine like terms: -10 + -14 = -24 14 + 3x = -24 + 5x + -2x Combine like terms: 5x + -2x = 3x 14 + 3x = -24 + 3x Add '-3x' to each side of the equation. 14 + 3x + -3x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 0 = -24 + 3x + -3x 14 = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 14 = -24 + 0 14 = -24 Solving 14 = -24 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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