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Simplifying 3(2x + 5) + 7 = 2(11 + 3x) Reorder the terms: 3(5 + 2x) + 7 = 2(11 + 3x) (5 * 3 + 2x * 3) + 7 = 2(11 + 3x) (15 + 6x) + 7 = 2(11 + 3x) Reorder the terms: 15 + 7 + 6x = 2(11 + 3x) Combine like terms: 15 + 7 = 22 22 + 6x = 2(11 + 3x) 22 + 6x = (11 * 2 + 3x * 2) 22 + 6x = (22 + 6x) Add '-22' to each side of the equation. 22 + -22 + 6x = 22 + -22 + 6x Combine like terms: 22 + -22 = 0 0 + 6x = 22 + -22 + 6x 6x = 22 + -22 + 6x Combine like terms: 22 + -22 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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