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Simplifying 0.5(x + 1) + 0.25 = 0.6666666666x + -0.1666666666x + 0.75 Reorder the terms: 0.5(1 + x) + 0.25 = 0.6666666666x + -0.1666666666x + 0.75 (1 * 0.5 + x * 0.5) + 0.25 = 0.6666666666x + -0.1666666666x + 0.75 (0.5 + 0.5x) + 0.25 = 0.6666666666x + -0.1666666666x + 0.75 Reorder the terms: 0.5 + 0.25 + 0.5x = 0.6666666666x + -0.1666666666x + 0.75 Combine like terms: 0.5 + 0.25 = 0.75 0.75 + 0.5x = 0.6666666666x + -0.1666666666x + 0.75 Reorder the terms: 0.75 + 0.5x = 0.75 + 0.6666666666x + -0.1666666666x Combine like terms: 0.6666666666x + -0.1666666666x = 0.5x 0.75 + 0.5x = 0.75 + 0.5x Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.5x = 0.75 + -0.75 + 0.5x Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.5x = 0.75 + -0.75 + 0.5x 0.5x = 0.75 + -0.75 + 0.5x Combine like terms: 0.75 + -0.75 = 0.00 0.5x = 0.00 + 0.5x 0.5x = 0.5x Add '-0.5x' to each side of the equation. 0.5x + -0.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.0 = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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