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Simplifying 4x + 2(5x + -1) = 2(7x + -1) Reorder the terms: 4x + 2(-1 + 5x) = 2(7x + -1) 4x + (-1 * 2 + 5x * 2) = 2(7x + -1) 4x + (-2 + 10x) = 2(7x + -1) Reorder the terms: -2 + 4x + 10x = 2(7x + -1) Combine like terms: 4x + 10x = 14x -2 + 14x = 2(7x + -1) Reorder the terms: -2 + 14x = 2(-1 + 7x) -2 + 14x = (-1 * 2 + 7x * 2) -2 + 14x = (-2 + 14x) Add '2' to each side of the equation. -2 + 2 + 14x = -2 + 2 + 14x Combine like terms: -2 + 2 = 0 0 + 14x = -2 + 2 + 14x 14x = -2 + 2 + 14x Combine like terms: -2 + 2 = 0 14x = 0 + 14x 14x = 14x Add '-14x' to each side of the equation. 14x + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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