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Simplifying 6x + 2(x + 3) = 3x + 5x + 6 Reorder the terms: 6x + 2(3 + x) = 3x + 5x + 6 6x + (3 * 2 + x * 2) = 3x + 5x + 6 6x + (6 + 2x) = 3x + 5x + 6 Reorder the terms: 6 + 6x + 2x = 3x + 5x + 6 Combine like terms: 6x + 2x = 8x 6 + 8x = 3x + 5x + 6 Reorder the terms: 6 + 8x = 6 + 3x + 5x Combine like terms: 3x + 5x = 8x 6 + 8x = 6 + 8x Add '-6' to each side of the equation. 6 + -6 + 8x = 6 + -6 + 8x Combine like terms: 6 + -6 = 0 0 + 8x = 6 + -6 + 8x 8x = 6 + -6 + 8x Combine like terms: 6 + -6 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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