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Simplifying 2(x + 5) = 4x + -1(2x + -10) Reorder the terms: 2(5 + x) = 4x + -1(2x + -10) (5 * 2 + x * 2) = 4x + -1(2x + -10) (10 + 2x) = 4x + -1(2x + -10) Reorder the terms: 10 + 2x = 4x + -1(-10 + 2x) 10 + 2x = 4x + (-10 * -1 + 2x * -1) 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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