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Simplifying 9x + -5 + -1(7x + -5) + 8 = 12 + -1(4 + -2x) Reorder the terms: 9x + -5 + -1(-5 + 7x) + 8 = 12 + -1(4 + -2x) 9x + -5 + (-5 * -1 + 7x * -1) + 8 = 12 + -1(4 + -2x) 9x + -5 + (5 + -7x) + 8 = 12 + -1(4 + -2x) Reorder the terms: -5 + 5 + 8 + 9x + -7x = 12 + -1(4 + -2x) Combine like terms: -5 + 5 = 0 0 + 8 + 9x + -7x = 12 + -1(4 + -2x) 8 + 9x + -7x = 12 + -1(4 + -2x) Combine like terms: 9x + -7x = 2x 8 + 2x = 12 + -1(4 + -2x) 8 + 2x = 12 + (4 * -1 + -2x * -1) 8 + 2x = 12 + (-4 + 2x) Combine like terms: 12 + -4 = 8 8 + 2x = 8 + 2x Add '-8' to each side of the equation. 8 + -8 + 2x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + 2x = 8 + -8 + 2x 2x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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