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Simplifying 9x + 7(3 + -1x) = 2(x + 8) + 5 9x + (3 * 7 + -1x * 7) = 2(x + 8) + 5 9x + (21 + -7x) = 2(x + 8) + 5 Reorder the terms: 21 + 9x + -7x = 2(x + 8) + 5 Combine like terms: 9x + -7x = 2x 21 + 2x = 2(x + 8) + 5 Reorder the terms: 21 + 2x = 2(8 + x) + 5 21 + 2x = (8 * 2 + x * 2) + 5 21 + 2x = (16 + 2x) + 5 Reorder the terms: 21 + 2x = 16 + 5 + 2x Combine like terms: 16 + 5 = 21 21 + 2x = 21 + 2x Add '-21' to each side of the equation. 21 + -21 + 2x = 21 + -21 + 2x Combine like terms: 21 + -21 = 0 0 + 2x = 21 + -21 + 2x 2x = 21 + -21 + 2x Combine like terms: 21 + -21 = 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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