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Simplifying 40x + -26 = 5(7x + -7) + 5x + 9 Reorder the terms: -26 + 40x = 5(7x + -7) + 5x + 9 Reorder the terms: -26 + 40x = 5(-7 + 7x) + 5x + 9 -26 + 40x = (-7 * 5 + 7x * 5) + 5x + 9 -26 + 40x = (-35 + 35x) + 5x + 9 Reorder the terms: -26 + 40x = -35 + 9 + 35x + 5x Combine like terms: -35 + 9 = -26 -26 + 40x = -26 + 35x + 5x Combine like terms: 35x + 5x = 40x -26 + 40x = -26 + 40x Add '26' to each side of the equation. -26 + 26 + 40x = -26 + 26 + 40x Combine like terms: -26 + 26 = 0 0 + 40x = -26 + 26 + 40x 40x = -26 + 26 + 40x Combine like terms: -26 + 26 = 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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