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Simplifying 35x + -27 = 4(7x + -5) + 7x + -7 Reorder the terms: -27 + 35x = 4(7x + -5) + 7x + -7 Reorder the terms: -27 + 35x = 4(-5 + 7x) + 7x + -7 -27 + 35x = (-5 * 4 + 7x * 4) + 7x + -7 -27 + 35x = (-20 + 28x) + 7x + -7 Reorder the terms: -27 + 35x = -20 + -7 + 28x + 7x Combine like terms: -20 + -7 = -27 -27 + 35x = -27 + 28x + 7x Combine like terms: 28x + 7x = 35x -27 + 35x = -27 + 35x Add '27' to each side of the equation. -27 + 27 + 35x = -27 + 27 + 35x Combine like terms: -27 + 27 = 0 0 + 35x = -27 + 27 + 35x 35x = -27 + 27 + 35x Combine like terms: -27 + 27 = 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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