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Simplifying 4 + -1(2x + 5) = 0.5(-4x + -2) Reorder the terms: 4 + -1(5 + 2x) = 0.5(-4x + -2) 4 + (5 * -1 + 2x * -1) = 0.5(-4x + -2) 4 + (-5 + -2x) = 0.5(-4x + -2) Combine like terms: 4 + -5 = -1 -1 + -2x = 0.5(-4x + -2) Reorder the terms: -1 + -2x = 0.5(-2 + -4x) -1 + -2x = (-2 * 0.5 + -4x * 0.5) -1 + -2x = (-1 + -2x) Add '1' to each side of the equation. -1 + 1 + -2x = -1 + 1 + -2x Combine like terms: -1 + 1 = 0 0 + -2x = -1 + 1 + -2x -2x = -1 + 1 + -2x Combine like terms: -1 + 1 = 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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