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Simplifying 5(4x + 3) + -14x = 2(3x + -5) Reorder the terms: 5(3 + 4x) + -14x = 2(3x + -5) (3 * 5 + 4x * 5) + -14x = 2(3x + -5) (15 + 20x) + -14x = 2(3x + -5) Combine like terms: 20x + -14x = 6x 15 + 6x = 2(3x + -5) Reorder the terms: 15 + 6x = 2(-5 + 3x) 15 + 6x = (-5 * 2 + 3x * 2) 15 + 6x = (-10 + 6x) Add '-6x' to each side of the equation. 15 + 6x + -6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 0 = -10 + 6x + -6x 15 = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 15 = -10 + 0 15 = -10 Solving 15 = -10 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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