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Simplifying 3x + -7 = 2x + -1(3 + -1x + 4) Reorder the terms: -7 + 3x = 2x + -1(3 + -1x + 4) Reorder the terms: -7 + 3x = 2x + -1(3 + 4 + -1x) Combine like terms: 3 + 4 = 7 -7 + 3x = 2x + -1(7 + -1x) -7 + 3x = 2x + (7 * -1 + -1x * -1) -7 + 3x = 2x + (-7 + 1x) Reorder the terms: -7 + 3x = -7 + 2x + 1x Combine like terms: 2x + 1x = 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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