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