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Simplifying 53x + -31 = 7(7x + -5) + 4x + 4 Reorder the terms: -31 + 53x = 7(7x + -5) + 4x + 4 Reorder the terms: -31 + 53x = 7(-5 + 7x) + 4x + 4 -31 + 53x = (-5 * 7 + 7x * 7) + 4x + 4 -31 + 53x = (-35 + 49x) + 4x + 4 Reorder the terms: -31 + 53x = -35 + 4 + 49x + 4x Combine like terms: -35 + 4 = -31 -31 + 53x = -31 + 49x + 4x Combine like terms: 49x + 4x = 53x -31 + 53x = -31 + 53x Add '31' to each side of the equation. -31 + 31 + 53x = -31 + 31 + 53x Combine like terms: -31 + 31 = 0 0 + 53x = -31 + 31 + 53x 53x = -31 + 31 + 53x Combine like terms: -31 + 31 = 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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