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Simplifying 26x + 12 = 5(4x + 1) + 6x + 7 Reorder the terms: 12 + 26x = 5(4x + 1) + 6x + 7 Reorder the terms: 12 + 26x = 5(1 + 4x) + 6x + 7 12 + 26x = (1 * 5 + 4x * 5) + 6x + 7 12 + 26x = (5 + 20x) + 6x + 7 Reorder the terms: 12 + 26x = 5 + 7 + 20x + 6x Combine like terms: 5 + 7 = 12 12 + 26x = 12 + 20x + 6x Combine like terms: 20x + 6x = 26x 12 + 26x = 12 + 26x Add '-12' to each side of the equation. 12 + -12 + 26x = 12 + -12 + 26x Combine like terms: 12 + -12 = 0 0 + 26x = 12 + -12 + 26x 26x = 12 + -12 + 26x Combine like terms: 12 + -12 = 0 26x = 0 + 26x 26x = 26x Add '-26x' to each side of the equation. 26x + -26x = 26x + -26x Combine like terms: 26x + -26x = 0 0 = 26x + -26x Combine like terms: 26x + -26x = 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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