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Simplifying 3(2x + 4) + -2x = 14 + -2(1 + -2x) Reorder the terms: 3(4 + 2x) + -2x = 14 + -2(1 + -2x) (4 * 3 + 2x * 3) + -2x = 14 + -2(1 + -2x) (12 + 6x) + -2x = 14 + -2(1 + -2x) Combine like terms: 6x + -2x = 4x 12 + 4x = 14 + -2(1 + -2x) 12 + 4x = 14 + (1 * -2 + -2x * -2) 12 + 4x = 14 + (-2 + 4x) Combine like terms: 14 + -2 = 12 12 + 4x = 12 + 4x Add '-12' to each side of the equation. 12 + -12 + 4x = 12 + -12 + 4x Combine like terms: 12 + -12 = 0 0 + 4x = 12 + -12 + 4x 4x = 12 + -12 + 4x Combine like terms: 12 + -12 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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