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Simplifying 5x + 7 = 7(x + 1) + -2x Reorder the terms: 7 + 5x = 7(x + 1) + -2x Reorder the terms: 7 + 5x = 7(1 + x) + -2x 7 + 5x = (1 * 7 + x * 7) + -2x 7 + 5x = (7 + 7x) + -2x Combine like terms: 7x + -2x = 5x 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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