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Simplifying 7x + 6 = 5x + -1(3 + -2x) + 9 Reorder the terms: 6 + 7x = 5x + -1(3 + -2x) + 9 6 + 7x = 5x + (3 * -1 + -2x * -1) + 9 6 + 7x = 5x + (-3 + 2x) + 9 Reorder the terms: 6 + 7x = -3 + 9 + 5x + 2x Combine like terms: -3 + 9 = 6 6 + 7x = 6 + 5x + 2x Combine like terms: 5x + 2x = 7x 6 + 7x = 6 + 7x Add '-6' to each side of the equation. 6 + -6 + 7x = 6 + -6 + 7x Combine like terms: 6 + -6 = 0 0 + 7x = 6 + -6 + 7x 7x = 6 + -6 + 7x Combine like terms: 6 + -6 = 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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