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Simplifying 0.5(3x + -1) + 0.5x = 2x + -0.5 Reorder the terms: 0.5(-1 + 3x) + 0.5x = 2x + -0.5 (-1 * 0.5 + 3x * 0.5) + 0.5x = 2x + -0.5 (-0.5 + 1.5x) + 0.5x = 2x + -0.5 Combine like terms: 1.5x + 0.5x = 2x -0.5 + 2x = 2x + -0.5 Reorder the terms: -0.5 + 2x = -0.5 + 2x Add '0.5' to each side of the equation. -0.5 + 0.5 + 2x = -0.5 + 0.5 + 2x Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2x = -0.5 + 0.5 + 2x 2x = -0.5 + 0.5 + 2x Combine like terms: -0.5 + 0.5 = 0.0 2x = 0.0 + 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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