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Simplifying 53x + 47 = 7(7x + 7) + 4x + -2 Reorder the terms: 47 + 53x = 7(7x + 7) + 4x + -2 Reorder the terms: 47 + 53x = 7(7 + 7x) + 4x + -2 47 + 53x = (7 * 7 + 7x * 7) + 4x + -2 47 + 53x = (49 + 49x) + 4x + -2 Reorder the terms: 47 + 53x = 49 + -2 + 49x + 4x Combine like terms: 49 + -2 = 47 47 + 53x = 47 + 49x + 4x Combine like terms: 49x + 4x = 53x 47 + 53x = 47 + 53x Add '-47' to each side of the equation. 47 + -47 + 53x = 47 + -47 + 53x Combine like terms: 47 + -47 = 0 0 + 53x = 47 + -47 + 53x 53x = 47 + -47 + 53x Combine like terms: 47 + -47 = 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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