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Simplifying 3x + -1(2x + 7) = 12x + -7 + -11x Reorder the terms: 3x + -1(7 + 2x) = 12x + -7 + -11x 3x + (7 * -1 + 2x * -1) = 12x + -7 + -11x 3x + (-7 + -2x) = 12x + -7 + -11x Reorder the terms: -7 + 3x + -2x = 12x + -7 + -11x Combine like terms: 3x + -2x = 1x -7 + 1x = 12x + -7 + -11x Reorder the terms: -7 + 1x = -7 + 12x + -11x Combine like terms: 12x + -11x = 1x -7 + 1x = -7 + 1x Add '7' to each side of the equation. -7 + 7 + 1x = -7 + 7 + 1x Combine like terms: -7 + 7 = 0 0 + 1x = -7 + 7 + 1x 1x = -7 + 7 + 1x Combine like terms: -7 + 7 = 0 1x = 0 + 1x 1x = 1x Add '-1x' to each side of the equation. 1x + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 1x + -1x Combine like terms: 1x + -1x = 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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