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Simplifying 10(x + 1) = 32x + 32 + -22x + -22 Reorder the terms: 10(1 + x) = 32x + 32 + -22x + -22 (1 * 10 + x * 10) = 32x + 32 + -22x + -22 (10 + 10x) = 32x + 32 + -22x + -22 Reorder the terms: 10 + 10x = 32 + -22 + 32x + -22x Combine like terms: 32 + -22 = 10 10 + 10x = 10 + 32x + -22x Combine like terms: 32x + -22x = 10x 10 + 10x = 10 + 10x Add '-10' to each side of the equation. 10 + -10 + 10x = 10 + -10 + 10x Combine like terms: 10 + -10 = 0 0 + 10x = 10 + -10 + 10x 10x = 10 + -10 + 10x Combine like terms: 10 + -10 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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