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Simplifying 3(2x + 2) + 5 = 2(2x + 1) + 2x + 9 Reorder the terms: 3(2 + 2x) + 5 = 2(2x + 1) + 2x + 9 (2 * 3 + 2x * 3) + 5 = 2(2x + 1) + 2x + 9 (6 + 6x) + 5 = 2(2x + 1) + 2x + 9 Reorder the terms: 6 + 5 + 6x = 2(2x + 1) + 2x + 9 Combine like terms: 6 + 5 = 11 11 + 6x = 2(2x + 1) + 2x + 9 Reorder the terms: 11 + 6x = 2(1 + 2x) + 2x + 9 11 + 6x = (1 * 2 + 2x * 2) + 2x + 9 11 + 6x = (2 + 4x) + 2x + 9 Reorder the terms: 11 + 6x = 2 + 9 + 4x + 2x Combine like terms: 2 + 9 = 11 11 + 6x = 11 + 4x + 2x Combine like terms: 4x + 2x = 6x 11 + 6x = 11 + 6x Add '-11' to each side of the equation. 11 + -11 + 6x = 11 + -11 + 6x Combine like terms: 11 + -11 = 0 0 + 6x = 11 + -11 + 6x 6x = 11 + -11 + 6x Combine like terms: 11 + -11 = 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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