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Simplifying 35x + -41 = 7(4x + -7) + 7x + 8 Reorder the terms: -41 + 35x = 7(4x + -7) + 7x + 8 Reorder the terms: -41 + 35x = 7(-7 + 4x) + 7x + 8 -41 + 35x = (-7 * 7 + 4x * 7) + 7x + 8 -41 + 35x = (-49 + 28x) + 7x + 8 Reorder the terms: -41 + 35x = -49 + 8 + 28x + 7x Combine like terms: -49 + 8 = -41 -41 + 35x = -41 + 28x + 7x Combine like terms: 28x + 7x = 35x -41 + 35x = -41 + 35x Add '41' to each side of the equation. -41 + 41 + 35x = -41 + 41 + 35x Combine like terms: -41 + 41 = 0 0 + 35x = -41 + 41 + 35x 35x = -41 + 41 + 35x Combine like terms: -41 + 41 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 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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