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Simplifying 2(x + -5) = 4x + -2(x + 5) Reorder the terms: 2(-5 + x) = 4x + -2(x + 5) (-5 * 2 + x * 2) = 4x + -2(x + 5) (-10 + 2x) = 4x + -2(x + 5) Reorder the terms: -10 + 2x = 4x + -2(5 + x) -10 + 2x = 4x + (5 * -2 + x * -2) -10 + 2x = 4x + (-10 + -2x) Reorder the terms: -10 + 2x = -10 + 4x + -2x Combine like terms: 4x + -2x = 2x -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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