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Simplifying 6(x + 2) + 5x = 4(x + 3) + 7x Reorder the terms: 6(2 + x) + 5x = 4(x + 3) + 7x (2 * 6 + x * 6) + 5x = 4(x + 3) + 7x (12 + 6x) + 5x = 4(x + 3) + 7x Combine like terms: 6x + 5x = 11x 12 + 11x = 4(x + 3) + 7x Reorder the terms: 12 + 11x = 4(3 + x) + 7x 12 + 11x = (3 * 4 + x * 4) + 7x 12 + 11x = (12 + 4x) + 7x Combine like terms: 4x + 7x = 11x 12 + 11x = 12 + 11x Add '-12' to each side of the equation. 12 + -12 + 11x = 12 + -12 + 11x Combine like terms: 12 + -12 = 0 0 + 11x = 12 + -12 + 11x 11x = 12 + -12 + 11x Combine like terms: 12 + -12 = 0 11x = 0 + 11x 11x = 11x Add '-11x' to each side of the equation. 11x + -11x = 11x + -11x Combine like terms: 11x + -11x = 0 0 = 11x + -11x Combine like terms: 11x + -11x = 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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