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Simplifying 2(4 + 5x) = 10(x + 2) + -12 (4 * 2 + 5x * 2) = 10(x + 2) + -12 (8 + 10x) = 10(x + 2) + -12 Reorder the terms: 8 + 10x = 10(2 + x) + -12 8 + 10x = (2 * 10 + x * 10) + -12 8 + 10x = (20 + 10x) + -12 Reorder the terms: 8 + 10x = 20 + -12 + 10x Combine like terms: 20 + -12 = 8 8 + 10x = 8 + 10x Add '-8' to each side of the equation. 8 + -8 + 10x = 8 + -8 + 10x Combine like terms: 8 + -8 = 0 0 + 10x = 8 + -8 + 10x 10x = 8 + -8 + 10x Combine like terms: 8 + -8 = 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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