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Simplifying 40x + 27 = 5(7x + 4) + 5x + 7 Reorder the terms: 27 + 40x = 5(7x + 4) + 5x + 7 Reorder the terms: 27 + 40x = 5(4 + 7x) + 5x + 7 27 + 40x = (4 * 5 + 7x * 5) + 5x + 7 27 + 40x = (20 + 35x) + 5x + 7 Reorder the terms: 27 + 40x = 20 + 7 + 35x + 5x Combine like terms: 20 + 7 = 27 27 + 40x = 27 + 35x + 5x Combine like terms: 35x + 5x = 40x 27 + 40x = 27 + 40x Add '-27' to each side of the equation. 27 + -27 + 40x = 27 + -27 + 40x Combine like terms: 27 + -27 = 0 0 + 40x = 27 + -27 + 40x 40x = 27 + -27 + 40x Combine like terms: 27 + -27 = 0 40x = 0 + 40x 40x = 40x Add '-40x' to each side of the equation. 40x + -40x = 40x + -40x Combine like terms: 40x + -40x = 0 0 = 40x + -40x Combine like terms: 40x + -40x = 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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