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Simplifying 16 + -1(2x + 8) + -1(7 + -9x) = 1 + 7x Reorder the terms: 16 + -1(8 + 2x) + -1(7 + -9x) = 1 + 7x 16 + (8 * -1 + 2x * -1) + -1(7 + -9x) = 1 + 7x 16 + (-8 + -2x) + -1(7 + -9x) = 1 + 7x 16 + -8 + -2x + (7 * -1 + -9x * -1) = 1 + 7x 16 + -8 + -2x + (-7 + 9x) = 1 + 7x Reorder the terms: 16 + -8 + -7 + -2x + 9x = 1 + 7x Combine like terms: 16 + -8 = 8 8 + -7 + -2x + 9x = 1 + 7x Combine like terms: 8 + -7 = 1 1 + -2x + 9x = 1 + 7x Combine like terms: -2x + 9x = 7x 1 + 7x = 1 + 7x Add '-1' to each side of the equation. 1 + -1 + 7x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 0 + 7x = 1 + -1 + 7x 7x = 1 + -1 + 7x Combine like terms: 1 + -1 = 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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