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Simplifying 3 + -4(x + 7) = x + -5(x + 5) Reorder the terms: 3 + -4(7 + x) = x + -5(x + 5) 3 + (7 * -4 + x * -4) = x + -5(x + 5) 3 + (-28 + -4x) = x + -5(x + 5) Combine like terms: 3 + -28 = -25 -25 + -4x = x + -5(x + 5) Reorder the terms: -25 + -4x = x + -5(5 + x) -25 + -4x = x + (5 * -5 + x * -5) -25 + -4x = x + (-25 + -5x) Reorder the terms: -25 + -4x = -25 + x + -5x Combine like terms: x + -5x = -4x -25 + -4x = -25 + -4x Add '25' to each side of the equation. -25 + 25 + -4x = -25 + 25 + -4x Combine like terms: -25 + 25 = 0 0 + -4x = -25 + 25 + -4x -4x = -25 + 25 + -4x Combine like terms: -25 + 25 = 0 -4x = 0 + -4x -4x = -4x Add '4x' to each side of the equation. -4x + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 0 = -4x + 4x Combine like terms: -4x + 4x = 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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