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Simplifying 53x + 33 = 7(7x + 6) + 4x + -9 Reorder the terms: 33 + 53x = 7(7x + 6) + 4x + -9 Reorder the terms: 33 + 53x = 7(6 + 7x) + 4x + -9 33 + 53x = (6 * 7 + 7x * 7) + 4x + -9 33 + 53x = (42 + 49x) + 4x + -9 Reorder the terms: 33 + 53x = 42 + -9 + 49x + 4x Combine like terms: 42 + -9 = 33 33 + 53x = 33 + 49x + 4x Combine like terms: 49x + 4x = 53x 33 + 53x = 33 + 53x Add '-33' to each side of the equation. 33 + -33 + 53x = 33 + -33 + 53x Combine like terms: 33 + -33 = 0 0 + 53x = 33 + -33 + 53x 53x = 33 + -33 + 53x Combine like terms: 33 + -33 = 0 53x = 0 + 53x 53x = 53x Add '-53x' to each side of the equation. 53x + -53x = 53x + -53x Combine like terms: 53x + -53x = 0 0 = 53x + -53x Combine like terms: 53x + -53x = 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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