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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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