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Simplifying 2x + 3(x + -2) + -1 = 6x + -1(x + 7) Reorder the terms: 2x + 3(-2 + x) + -1 = 6x + -1(x + 7) 2x + (-2 * 3 + x * 3) + -1 = 6x + -1(x + 7) 2x + (-6 + 3x) + -1 = 6x + -1(x + 7) Reorder the terms: -6 + -1 + 2x + 3x = 6x + -1(x + 7) Combine like terms: -6 + -1 = -7 -7 + 2x + 3x = 6x + -1(x + 7) Combine like terms: 2x + 3x = 5x -7 + 5x = 6x + -1(x + 7) Reorder the terms: -7 + 5x = 6x + -1(7 + x) -7 + 5x = 6x + (7 * -1 + x * -1) -7 + 5x = 6x + (-7 + -1x) Reorder the terms: -7 + 5x = -7 + 6x + -1x Combine like terms: 6x + -1x = 5x -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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