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