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Simplifying 2x + -1 + 6(2x + 1) = 16x + -1(2x + -5) Reorder the terms: 2x + -1 + 6(1 + 2x) = 16x + -1(2x + -5) 2x + -1 + (1 * 6 + 2x * 6) = 16x + -1(2x + -5) 2x + -1 + (6 + 12x) = 16x + -1(2x + -5) Reorder the terms: -1 + 6 + 2x + 12x = 16x + -1(2x + -5) Combine like terms: -1 + 6 = 5 5 + 2x + 12x = 16x + -1(2x + -5) Combine like terms: 2x + 12x = 14x 5 + 14x = 16x + -1(2x + -5) Reorder the terms: 5 + 14x = 16x + -1(-5 + 2x) 5 + 14x = 16x + (-5 * -1 + 2x * -1) 5 + 14x = 16x + (5 + -2x) Reorder the terms: 5 + 14x = 5 + 16x + -2x Combine like terms: 16x + -2x = 14x 5 + 14x = 5 + 14x Add '-5' to each side of the equation. 5 + -5 + 14x = 5 + -5 + 14x Combine like terms: 5 + -5 = 0 0 + 14x = 5 + -5 + 14x 14x = 5 + -5 + 14x Combine like terms: 5 + -5 = 0 14x = 0 + 14x 14x = 14x Add '-14x' to each side of the equation. 14x + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 14x + -14x Combine like terms: 14x + -14x = 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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