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Simplifying 2(2x + 5) = 4(x + 3) + -2 Reorder the terms: 2(5 + 2x) = 4(x + 3) + -2 (5 * 2 + 2x * 2) = 4(x + 3) + -2 (10 + 4x) = 4(x + 3) + -2 Reorder the terms: 10 + 4x = 4(3 + x) + -2 10 + 4x = (3 * 4 + x * 4) + -2 10 + 4x = (12 + 4x) + -2 Reorder the terms: 10 + 4x = 12 + -2 + 4x Combine like terms: 12 + -2 = 10 10 + 4x = 10 + 4x Add '-10' to each side of the equation. 10 + -10 + 4x = 10 + -10 + 4x Combine like terms: 10 + -10 = 0 0 + 4x = 10 + -10 + 4x 4x = 10 + -10 + 4x Combine like terms: 10 + -10 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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