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Simplifying x * 1 + (1 + -1x) * 10 = x * 1 + (1 + -1x) * 10 Reorder the terms for easier multiplication: 1x + (1 + -1x) * 10 = x * 1 + (1 + -1x) * 10 Reorder the terms for easier multiplication: 1x + 10(1 + -1x) = x * 1 + (1 + -1x) * 10 1x + (1 * 10 + -1x * 10) = x * 1 + (1 + -1x) * 10 1x + (10 + -10x) = x * 1 + (1 + -1x) * 10 Reorder the terms: 10 + 1x + -10x = x * 1 + (1 + -1x) * 10 Combine like terms: 1x + -10x = -9x 10 + -9x = x * 1 + (1 + -1x) * 10 Reorder the terms for easier multiplication: 10 + -9x = 1x + (1 + -1x) * 10 Reorder the terms for easier multiplication: 10 + -9x = 1x + 10(1 + -1x) 10 + -9x = 1x + (1 * 10 + -1x * 10) 10 + -9x = 1x + (10 + -10x) Reorder the terms: 10 + -9x = 10 + 1x + -10x Combine like terms: 1x + -10x = -9x 10 + -9x = 10 + -9x Add '-10' to each side of the equation. 10 + -10 + -9x = 10 + -10 + -9x Combine like terms: 10 + -10 = 0 0 + -9x = 10 + -10 + -9x -9x = 10 + -10 + -9x Combine like terms: 10 + -10 = 0 -9x = 0 + -9x -9x = -9x Add '9x' to each side of the equation. -9x + 9x = -9x + 9x Combine like terms: -9x + 9x = 0 0 = -9x + 9x Combine like terms: -9x + 9x = 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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