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Simplifying 53x + -43 = 7(7x + -6) + 4x + -1 Reorder the terms: -43 + 53x = 7(7x + -6) + 4x + -1 Reorder the terms: -43 + 53x = 7(-6 + 7x) + 4x + -1 -43 + 53x = (-6 * 7 + 7x * 7) + 4x + -1 -43 + 53x = (-42 + 49x) + 4x + -1 Reorder the terms: -43 + 53x = -42 + -1 + 49x + 4x Combine like terms: -42 + -1 = -43 -43 + 53x = -43 + 49x + 4x Combine like terms: 49x + 4x = 53x -43 + 53x = -43 + 53x Add '43' to each side of the equation. -43 + 43 + 53x = -43 + 43 + 53x Combine like terms: -43 + 43 = 0 0 + 53x = -43 + 43 + 53x 53x = -43 + 43 + 53x Combine like terms: -43 + 43 = 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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