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Simplifying 3x + 5x + -2x + 12 = 8x + 6 + -2x + 6 Reorder the terms: 12 + 3x + 5x + -2x = 8x + 6 + -2x + 6 Combine like terms: 3x + 5x = 8x 12 + 8x + -2x = 8x + 6 + -2x + 6 Combine like terms: 8x + -2x = 6x 12 + 6x = 8x + 6 + -2x + 6 Reorder the terms: 12 + 6x = 6 + 6 + 8x + -2x Combine like terms: 6 + 6 = 12 12 + 6x = 12 + 8x + -2x Combine like terms: 8x + -2x = 6x 12 + 6x = 12 + 6x Add '-12' to each side of the equation. 12 + -12 + 6x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 0 + 6x = 12 + -12 + 6x 6x = 12 + -12 + 6x Combine like terms: 12 + -12 = 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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