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Simplifying 54x + -40 = 7(7x + -6) + 5x + 2 Reorder the terms: -40 + 54x = 7(7x + -6) + 5x + 2 Reorder the terms: -40 + 54x = 7(-6 + 7x) + 5x + 2 -40 + 54x = (-6 * 7 + 7x * 7) + 5x + 2 -40 + 54x = (-42 + 49x) + 5x + 2 Reorder the terms: -40 + 54x = -42 + 2 + 49x + 5x Combine like terms: -42 + 2 = -40 -40 + 54x = -40 + 49x + 5x Combine like terms: 49x + 5x = 54x -40 + 54x = -40 + 54x Add '40' to each side of the equation. -40 + 40 + 54x = -40 + 40 + 54x Combine like terms: -40 + 40 = 0 0 + 54x = -40 + 40 + 54x 54x = -40 + 40 + 54x Combine like terms: -40 + 40 = 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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