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Simplifying 14 + 2(x + 1) = 3(x + 5) + -1x + 1 Reorder the terms: 14 + 2(1 + x) = 3(x + 5) + -1x + 1 14 + (1 * 2 + x * 2) = 3(x + 5) + -1x + 1 14 + (2 + 2x) = 3(x + 5) + -1x + 1 Combine like terms: 14 + 2 = 16 16 + 2x = 3(x + 5) + -1x + 1 Reorder the terms: 16 + 2x = 3(5 + x) + -1x + 1 16 + 2x = (5 * 3 + x * 3) + -1x + 1 16 + 2x = (15 + 3x) + -1x + 1 Reorder the terms: 16 + 2x = 15 + 1 + 3x + -1x Combine like terms: 15 + 1 = 16 16 + 2x = 16 + 3x + -1x Combine like terms: 3x + -1x = 2x 16 + 2x = 16 + 2x Add '-16' to each side of the equation. 16 + -16 + 2x = 16 + -16 + 2x Combine like terms: 16 + -16 = 0 0 + 2x = 16 + -16 + 2x 2x = 16 + -16 + 2x Combine like terms: 16 + -16 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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