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Simplifying 3(2x + -14) + x = 15 + -1(-7x + -5) Reorder the terms: 3(-14 + 2x) + x = 15 + -1(-7x + -5) (-14 * 3 + 2x * 3) + x = 15 + -1(-7x + -5) (-42 + 6x) + x = 15 + -1(-7x + -5) Combine like terms: 6x + x = 7x -42 + 7x = 15 + -1(-7x + -5) Reorder the terms: -42 + 7x = 15 + -1(-5 + -7x) -42 + 7x = 15 + (-5 * -1 + -7x * -1) -42 + 7x = 15 + (5 + 7x) Combine like terms: 15 + 5 = 20 -42 + 7x = 20 + 7x Add '-7x' to each side of the equation. -42 + 7x + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + 0 = 20 + 7x + -7x -42 = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 = 20 + 0 -42 = 20 Solving -42 = 20 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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