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Simplifying 2x + 3 + -1(7x + -4) = 9 + -1(5x + 2) Reorder the terms: 2x + 3 + -1(-4 + 7x) = 9 + -1(5x + 2) 2x + 3 + (-4 * -1 + 7x * -1) = 9 + -1(5x + 2) 2x + 3 + (4 + -7x) = 9 + -1(5x + 2) Reorder the terms: 3 + 4 + 2x + -7x = 9 + -1(5x + 2) Combine like terms: 3 + 4 = 7 7 + 2x + -7x = 9 + -1(5x + 2) Combine like terms: 2x + -7x = -5x 7 + -5x = 9 + -1(5x + 2) Reorder the terms: 7 + -5x = 9 + -1(2 + 5x) 7 + -5x = 9 + (2 * -1 + 5x * -1) 7 + -5x = 9 + (-2 + -5x) Combine like terms: 9 + -2 = 7 7 + -5x = 7 + -5x Add '-7' to each side of the equation. 7 + -7 + -5x = 7 + -7 + -5x Combine like terms: 7 + -7 = 0 0 + -5x = 7 + -7 + -5x -5x = 7 + -7 + -5x Combine like terms: 7 + -7 = 0 -5x = 0 + -5x -5x = -5x Add '5x' to each side of the equation. -5x + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 0 = -5x + 5x Combine like terms: -5x + 5x = 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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