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Simplifying 23x + 9(x + 1) = 32(x + 1) + -23 Reorder the terms: 23x + 9(1 + x) = 32(x + 1) + -23 23x + (1 * 9 + x * 9) = 32(x + 1) + -23 23x + (9 + 9x) = 32(x + 1) + -23 Reorder the terms: 9 + 23x + 9x = 32(x + 1) + -23 Combine like terms: 23x + 9x = 32x 9 + 32x = 32(x + 1) + -23 Reorder the terms: 9 + 32x = 32(1 + x) + -23 9 + 32x = (1 * 32 + x * 32) + -23 9 + 32x = (32 + 32x) + -23 Reorder the terms: 9 + 32x = 32 + -23 + 32x Combine like terms: 32 + -23 = 9 9 + 32x = 9 + 32x Add '-9' to each side of the equation. 9 + -9 + 32x = 9 + -9 + 32x Combine like terms: 9 + -9 = 0 0 + 32x = 9 + -9 + 32x 32x = 9 + -9 + 32x Combine like terms: 9 + -9 = 0 32x = 0 + 32x 32x = 32x Add '-32x' to each side of the equation. 32x + -32x = 32x + -32x Combine like terms: 32x + -32x = 0 0 = 32x + -32x Combine like terms: 32x + -32x = 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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