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Simplifying 12x + 6 = 5(2x + -2) + 2x + 16 Reorder the terms: 6 + 12x = 5(2x + -2) + 2x + 16 Reorder the terms: 6 + 12x = 5(-2 + 2x) + 2x + 16 6 + 12x = (-2 * 5 + 2x * 5) + 2x + 16 6 + 12x = (-10 + 10x) + 2x + 16 Reorder the terms: 6 + 12x = -10 + 16 + 10x + 2x Combine like terms: -10 + 16 = 6 6 + 12x = 6 + 10x + 2x Combine like terms: 10x + 2x = 12x 6 + 12x = 6 + 12x Add '-6' to each side of the equation. 6 + -6 + 12x = 6 + -6 + 12x Combine like terms: 6 + -6 = 0 0 + 12x = 6 + -6 + 12x 12x = 6 + -6 + 12x Combine like terms: 6 + -6 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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