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Simplifying 7(x + 2) + -2x + -5 = 3(x + 3) + 2x Reorder the terms: 7(2 + x) + -2x + -5 = 3(x + 3) + 2x (2 * 7 + x * 7) + -2x + -5 = 3(x + 3) + 2x (14 + 7x) + -2x + -5 = 3(x + 3) + 2x Reorder the terms: 14 + -5 + 7x + -2x = 3(x + 3) + 2x Combine like terms: 14 + -5 = 9 9 + 7x + -2x = 3(x + 3) + 2x Combine like terms: 7x + -2x = 5x 9 + 5x = 3(x + 3) + 2x Reorder the terms: 9 + 5x = 3(3 + x) + 2x 9 + 5x = (3 * 3 + x * 3) + 2x 9 + 5x = (9 + 3x) + 2x Combine like terms: 3x + 2x = 5x 9 + 5x = 9 + 5x Add '-9' to each side of the equation. 9 + -9 + 5x = 9 + -9 + 5x Combine like terms: 9 + -9 = 0 0 + 5x = 9 + -9 + 5x 5x = 9 + -9 + 5x Combine like terms: 9 + -9 = 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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