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Simplifying 8(4x + -5) + -7x = 5(5x + -8) Reorder the terms: 8(-5 + 4x) + -7x = 5(5x + -8) (-5 * 8 + 4x * 8) + -7x = 5(5x + -8) (-40 + 32x) + -7x = 5(5x + -8) Combine like terms: 32x + -7x = 25x -40 + 25x = 5(5x + -8) Reorder the terms: -40 + 25x = 5(-8 + 5x) -40 + 25x = (-8 * 5 + 5x * 5) -40 + 25x = (-40 + 25x) Add '40' to each side of the equation. -40 + 40 + 25x = -40 + 40 + 25x Combine like terms: -40 + 40 = 0 0 + 25x = -40 + 40 + 25x 25x = -40 + 40 + 25x Combine like terms: -40 + 40 = 0 25x = 0 + 25x 25x = 25x Add '-25x' to each side of the equation. 25x + -25x = 25x + -25x Combine like terms: 25x + -25x = 0 0 = 25x + -25x Combine like terms: 25x + -25x = 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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