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Simplifying 11 = 5(1 + 3x) + -3(5x + -2) 11 = (1 * 5 + 3x * 5) + -3(5x + -2) 11 = (5 + 15x) + -3(5x + -2) Reorder the terms: 11 = 5 + 15x + -3(-2 + 5x) 11 = 5 + 15x + (-2 * -3 + 5x * -3) 11 = 5 + 15x + (6 + -15x) Reorder the terms: 11 = 5 + 6 + 15x + -15x Combine like terms: 5 + 6 = 11 11 = 11 + 15x + -15x Combine like terms: 15x + -15x = 0 11 = 11 + 0 11 = 11 Add '-11' to each side of the equation. 11 + -11 = 11 + -11 Combine like terms: 11 + -11 = 0 0 = 11 + -11 Combine like terms: 11 + -11 = 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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