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