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Simplifying 35x + -40 = 6(5x + -8) + 5x + 8 Reorder the terms: -40 + 35x = 6(5x + -8) + 5x + 8 Reorder the terms: -40 + 35x = 6(-8 + 5x) + 5x + 8 -40 + 35x = (-8 * 6 + 5x * 6) + 5x + 8 -40 + 35x = (-48 + 30x) + 5x + 8 Reorder the terms: -40 + 35x = -48 + 8 + 30x + 5x Combine like terms: -48 + 8 = -40 -40 + 35x = -40 + 30x + 5x Combine like terms: 30x + 5x = 35x -40 + 35x = -40 + 35x Add '40' to each side of the equation. -40 + 40 + 35x = -40 + 40 + 35x Combine like terms: -40 + 40 = 0 0 + 35x = -40 + 40 + 35x 35x = -40 + 40 + 35x Combine like terms: -40 + 40 = 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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