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Simplifying 9 + -1x = (16 + x) + -1(7 + 2x) Remove parenthesis around (16 + x) 9 + -1x = 16 + x + -1(7 + 2x) 9 + -1x = 16 + x + (7 * -1 + 2x * -1) 9 + -1x = 16 + x + (-7 + -2x) Reorder the terms: 9 + -1x = 16 + -7 + x + -2x Combine like terms: 16 + -7 = 9 9 + -1x = 9 + x + -2x Combine like terms: x + -2x = -1x 9 + -1x = 9 + -1x Add '-9' to each side of the equation. 9 + -9 + -1x = 9 + -9 + -1x Combine like terms: 9 + -9 = 0 0 + -1x = 9 + -9 + -1x -1x = 9 + -9 + -1x Combine like terms: 9 + -9 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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