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Simplifying -2 + -1(12x + 8) + 17 = 3 + x + -1(13x + -4) Reorder the terms: -2 + -1(8 + 12x) + 17 = 3 + x + -1(13x + -4) -2 + (8 * -1 + 12x * -1) + 17 = 3 + x + -1(13x + -4) -2 + (-8 + -12x) + 17 = 3 + x + -1(13x + -4) Reorder the terms: -2 + -8 + 17 + -12x = 3 + x + -1(13x + -4) Combine like terms: -2 + -8 = -10 -10 + 17 + -12x = 3 + x + -1(13x + -4) Combine like terms: -10 + 17 = 7 7 + -12x = 3 + x + -1(13x + -4) Reorder the terms: 7 + -12x = 3 + x + -1(-4 + 13x) 7 + -12x = 3 + x + (-4 * -1 + 13x * -1) 7 + -12x = 3 + x + (4 + -13x) Reorder the terms: 7 + -12x = 3 + 4 + x + -13x Combine like terms: 3 + 4 = 7 7 + -12x = 7 + x + -13x Combine like terms: x + -13x = -12x 7 + -12x = 7 + -12x Add '-7' to each side of the equation. 7 + -7 + -12x = 7 + -7 + -12x Combine like terms: 7 + -7 = 0 0 + -12x = 7 + -7 + -12x -12x = 7 + -7 + -12x Combine like terms: 7 + -7 = 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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