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Simplifying 54x + 61 = 7(7x + 9) + 5x + -2 Reorder the terms: 61 + 54x = 7(7x + 9) + 5x + -2 Reorder the terms: 61 + 54x = 7(9 + 7x) + 5x + -2 61 + 54x = (9 * 7 + 7x * 7) + 5x + -2 61 + 54x = (63 + 49x) + 5x + -2 Reorder the terms: 61 + 54x = 63 + -2 + 49x + 5x Combine like terms: 63 + -2 = 61 61 + 54x = 61 + 49x + 5x Combine like terms: 49x + 5x = 54x 61 + 54x = 61 + 54x Add '-61' to each side of the equation. 61 + -61 + 54x = 61 + -61 + 54x Combine like terms: 61 + -61 = 0 0 + 54x = 61 + -61 + 54x 54x = 61 + -61 + 54x Combine like terms: 61 + -61 = 0 54x = 0 + 54x 54x = 54x Add '-54x' to each side of the equation. 54x + -54x = 54x + -54x Combine like terms: 54x + -54x = 0 0 = 54x + -54x Combine like terms: 54x + -54x = 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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