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