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Simplifying 2(5x + 3) = 5(2x + -1) + 11 Reorder the terms: 2(3 + 5x) = 5(2x + -1) + 11 (3 * 2 + 5x * 2) = 5(2x + -1) + 11 (6 + 10x) = 5(2x + -1) + 11 Reorder the terms: 6 + 10x = 5(-1 + 2x) + 11 6 + 10x = (-1 * 5 + 2x * 5) + 11 6 + 10x = (-5 + 10x) + 11 Reorder the terms: 6 + 10x = -5 + 11 + 10x Combine like terms: -5 + 11 = 6 6 + 10x = 6 + 10x Add '-6' to each side of the equation. 6 + -6 + 10x = 6 + -6 + 10x Combine like terms: 6 + -6 = 0 0 + 10x = 6 + -6 + 10x 10x = 6 + -6 + 10x Combine like terms: 6 + -6 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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