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Simplifying 2(x + 3) + -7x = 3(2 + -1x) + -2x Reorder the terms: 2(3 + x) + -7x = 3(2 + -1x) + -2x (3 * 2 + x * 2) + -7x = 3(2 + -1x) + -2x (6 + 2x) + -7x = 3(2 + -1x) + -2x Combine like terms: 2x + -7x = -5x 6 + -5x = 3(2 + -1x) + -2x 6 + -5x = (2 * 3 + -1x * 3) + -2x 6 + -5x = (6 + -3x) + -2x Combine like terms: -3x + -2x = -5x 6 + -5x = 6 + -5x Add '-6' to each side of the equation. 6 + -6 + -5x = 6 + -6 + -5x Combine like terms: 6 + -6 = 0 0 + -5x = 6 + -6 + -5x -5x = 6 + -6 + -5x Combine like terms: 6 + -6 = 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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