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Simplifying 16x + 10(x + 1) = 26(x + 1) + -16 Reorder the terms: 16x + 10(1 + x) = 26(x + 1) + -16 16x + (1 * 10 + x * 10) = 26(x + 1) + -16 16x + (10 + 10x) = 26(x + 1) + -16 Reorder the terms: 10 + 16x + 10x = 26(x + 1) + -16 Combine like terms: 16x + 10x = 26x 10 + 26x = 26(x + 1) + -16 Reorder the terms: 10 + 26x = 26(1 + x) + -16 10 + 26x = (1 * 26 + x * 26) + -16 10 + 26x = (26 + 26x) + -16 Reorder the terms: 10 + 26x = 26 + -16 + 26x Combine like terms: 26 + -16 = 10 10 + 26x = 10 + 26x Add '-10' to each side of the equation. 10 + -10 + 26x = 10 + -10 + 26x Combine like terms: 10 + -10 = 0 0 + 26x = 10 + -10 + 26x 26x = 10 + -10 + 26x Combine like terms: 10 + -10 = 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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