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Simplifying 7x + -1(2x + 5) = 3(3x + -10) + -4x + 25 Reorder the terms: 7x + -1(5 + 2x) = 3(3x + -10) + -4x + 25 7x + (5 * -1 + 2x * -1) = 3(3x + -10) + -4x + 25 7x + (-5 + -2x) = 3(3x + -10) + -4x + 25 Reorder the terms: -5 + 7x + -2x = 3(3x + -10) + -4x + 25 Combine like terms: 7x + -2x = 5x -5 + 5x = 3(3x + -10) + -4x + 25 Reorder the terms: -5 + 5x = 3(-10 + 3x) + -4x + 25 -5 + 5x = (-10 * 3 + 3x * 3) + -4x + 25 -5 + 5x = (-30 + 9x) + -4x + 25 Reorder the terms: -5 + 5x = -30 + 25 + 9x + -4x Combine like terms: -30 + 25 = -5 -5 + 5x = -5 + 9x + -4x Combine like terms: 9x + -4x = 5x -5 + 5x = -5 + 5x Add '5' to each side of the equation. -5 + 5 + 5x = -5 + 5 + 5x Combine like terms: -5 + 5 = 0 0 + 5x = -5 + 5 + 5x 5x = -5 + 5 + 5x Combine like terms: -5 + 5 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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