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Simplifying -3 + -1(12x + 5) + 21 = 9 + x + -1(13x + -4) Reorder the terms: -3 + -1(5 + 12x) + 21 = 9 + x + -1(13x + -4) -3 + (5 * -1 + 12x * -1) + 21 = 9 + x + -1(13x + -4) -3 + (-5 + -12x) + 21 = 9 + x + -1(13x + -4) Reorder the terms: -3 + -5 + 21 + -12x = 9 + x + -1(13x + -4) Combine like terms: -3 + -5 = -8 -8 + 21 + -12x = 9 + x + -1(13x + -4) Combine like terms: -8 + 21 = 13 13 + -12x = 9 + x + -1(13x + -4) Reorder the terms: 13 + -12x = 9 + x + -1(-4 + 13x) 13 + -12x = 9 + x + (-4 * -1 + 13x * -1) 13 + -12x = 9 + x + (4 + -13x) Reorder the terms: 13 + -12x = 9 + 4 + x + -13x Combine like terms: 9 + 4 = 13 13 + -12x = 13 + x + -13x Combine like terms: x + -13x = -12x 13 + -12x = 13 + -12x Add '-13' to each side of the equation. 13 + -13 + -12x = 13 + -13 + -12x Combine like terms: 13 + -13 = 0 0 + -12x = 13 + -13 + -12x -12x = 13 + -13 + -12x Combine like terms: 13 + -13 = 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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