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