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Simplifying -4 + -1(12x + 8) + 21 = 7 + x + -1(13x + -2) Reorder the terms: -4 + -1(8 + 12x) + 21 = 7 + x + -1(13x + -2) -4 + (8 * -1 + 12x * -1) + 21 = 7 + x + -1(13x + -2) -4 + (-8 + -12x) + 21 = 7 + x + -1(13x + -2) Reorder the terms: -4 + -8 + 21 + -12x = 7 + x + -1(13x + -2) Combine like terms: -4 + -8 = -12 -12 + 21 + -12x = 7 + x + -1(13x + -2) Combine like terms: -12 + 21 = 9 9 + -12x = 7 + x + -1(13x + -2) Reorder the terms: 9 + -12x = 7 + x + -1(-2 + 13x) 9 + -12x = 7 + x + (-2 * -1 + 13x * -1) 9 + -12x = 7 + x + (2 + -13x) Reorder the terms: 9 + -12x = 7 + 2 + x + -13x Combine like terms: 7 + 2 = 9 9 + -12x = 9 + x + -13x Combine like terms: x + -13x = -12x 9 + -12x = 9 + -12x Add '-9' to each side of the equation. 9 + -9 + -12x = 9 + -9 + -12x Combine like terms: 9 + -9 = 0 0 + -12x = 9 + -9 + -12x -12x = 9 + -9 + -12x Combine like terms: 9 + -9 = 0 -12x = 0 + -12x -12x = -12x Add '12x' to each side of the equation. -12x + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 0 = -12x + 12x Combine like terms: -12x + 12x = 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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