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Simplifying 7(x + 2) + -2x = 5(x + 1) + 9 Reorder the terms: 7(2 + x) + -2x = 5(x + 1) + 9 (2 * 7 + x * 7) + -2x = 5(x + 1) + 9 (14 + 7x) + -2x = 5(x + 1) + 9 Combine like terms: 7x + -2x = 5x 14 + 5x = 5(x + 1) + 9 Reorder the terms: 14 + 5x = 5(1 + x) + 9 14 + 5x = (1 * 5 + x * 5) + 9 14 + 5x = (5 + 5x) + 9 Reorder the terms: 14 + 5x = 5 + 9 + 5x Combine like terms: 5 + 9 = 14 14 + 5x = 14 + 5x Add '-14' to each side of the equation. 14 + -14 + 5x = 14 + -14 + 5x Combine like terms: 14 + -14 = 0 0 + 5x = 14 + -14 + 5x 5x = 14 + -14 + 5x Combine like terms: 14 + -14 = 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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