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Simplifying 30x + 43 = 7(4x + 5) + 2x + 8 Reorder the terms: 43 + 30x = 7(4x + 5) + 2x + 8 Reorder the terms: 43 + 30x = 7(5 + 4x) + 2x + 8 43 + 30x = (5 * 7 + 4x * 7) + 2x + 8 43 + 30x = (35 + 28x) + 2x + 8 Reorder the terms: 43 + 30x = 35 + 8 + 28x + 2x Combine like terms: 35 + 8 = 43 43 + 30x = 43 + 28x + 2x Combine like terms: 28x + 2x = 30x 43 + 30x = 43 + 30x Add '-43' to each side of the equation. 43 + -43 + 30x = 43 + -43 + 30x Combine like terms: 43 + -43 = 0 0 + 30x = 43 + -43 + 30x 30x = 43 + -43 + 30x Combine like terms: 43 + -43 = 0 30x = 0 + 30x 30x = 30x Add '-30x' to each side of the equation. 30x + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 0 = 30x + -30x Combine like terms: 30x + -30x = 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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