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Simplifying 5(3x + 9) + -2 = 15x + 43 Reorder the terms: 5(9 + 3x) + -2 = 15x + 43 (9 * 5 + 3x * 5) + -2 = 15x + 43 (45 + 15x) + -2 = 15x + 43 Reorder the terms: 45 + -2 + 15x = 15x + 43 Combine like terms: 45 + -2 = 43 43 + 15x = 15x + 43 Reorder the terms: 43 + 15x = 43 + 15x Add '-43' to each side of the equation. 43 + -43 + 15x = 43 + -43 + 15x Combine like terms: 43 + -43 = 0 0 + 15x = 43 + -43 + 15x 15x = 43 + -43 + 15x Combine like terms: 43 + -43 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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