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Simplifying 17x + 15(x + 1) = 32(x + 1) + -17 Reorder the terms: 17x + 15(1 + x) = 32(x + 1) + -17 17x + (1 * 15 + x * 15) = 32(x + 1) + -17 17x + (15 + 15x) = 32(x + 1) + -17 Reorder the terms: 15 + 17x + 15x = 32(x + 1) + -17 Combine like terms: 17x + 15x = 32x 15 + 32x = 32(x + 1) + -17 Reorder the terms: 15 + 32x = 32(1 + x) + -17 15 + 32x = (1 * 32 + x * 32) + -17 15 + 32x = (32 + 32x) + -17 Reorder the terms: 15 + 32x = 32 + -17 + 32x Combine like terms: 32 + -17 = 15 15 + 32x = 15 + 32x Add '-15' to each side of the equation. 15 + -15 + 32x = 15 + -15 + 32x Combine like terms: 15 + -15 = 0 0 + 32x = 15 + -15 + 32x 32x = 15 + -15 + 32x Combine like terms: 15 + -15 = 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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