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