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Simplifying 6x + 2 + -4x = 3(2x + 1) + -2(2x + 0.5) Reorder the terms: 2 + 6x + -4x = 3(2x + 1) + -2(2x + 0.5) Combine like terms: 6x + -4x = 2x 2 + 2x = 3(2x + 1) + -2(2x + 0.5) Reorder the terms: 2 + 2x = 3(1 + 2x) + -2(2x + 0.5) 2 + 2x = (1 * 3 + 2x * 3) + -2(2x + 0.5) 2 + 2x = (3 + 6x) + -2(2x + 0.5) Reorder the terms: 2 + 2x = 3 + 6x + -2(0.5 + 2x) 2 + 2x = 3 + 6x + (0.5 * -2 + 2x * -2) 2 + 2x = 3 + 6x + (-1 + -4x) Reorder the terms: 2 + 2x = 3 + -1 + 6x + -4x Combine like terms: 3 + -1 = 2 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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