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Simplifying -5(x + 2) + 3x = -2(x + 5) Reorder the terms: -5(2 + x) + 3x = -2(x + 5) (2 * -5 + x * -5) + 3x = -2(x + 5) (-10 + -5x) + 3x = -2(x + 5) Combine like terms: -5x + 3x = -2x -10 + -2x = -2(x + 5) Reorder the terms: -10 + -2x = -2(5 + x) -10 + -2x = (5 * -2 + x * -2) -10 + -2x = (-10 + -2x) Add '10' to each side of the equation. -10 + 10 + -2x = -10 + 10 + -2x Combine like terms: -10 + 10 = 0 0 + -2x = -10 + 10 + -2x -2x = -10 + 10 + -2x Combine like terms: -10 + 10 = 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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