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