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Simplifying 5x + 7 + -7x = 16 + -13x + 11x + -9 Reorder the terms: 7 + 5x + -7x = 16 + -13x + 11x + -9 Combine like terms: 5x + -7x = -2x 7 + -2x = 16 + -13x + 11x + -9 Reorder the terms: 7 + -2x = 16 + -9 + -13x + 11x Combine like terms: 16 + -9 = 7 7 + -2x = 7 + -13x + 11x Combine like terms: -13x + 11x = -2x 7 + -2x = 7 + -2x Add '-7' to each side of the equation. 7 + -7 + -2x = 7 + -7 + -2x Combine like terms: 7 + -7 = 0 0 + -2x = 7 + -7 + -2x -2x = 7 + -7 + -2x Combine like terms: 7 + -7 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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