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Simplifying 12 + -1(3x + -8) + 4(3x + -5) + -1 = 2 + (5 + -1x) Reorder the terms: 12 + -1(-8 + 3x) + 4(3x + -5) + -1 = 2 + (5 + -1x) 12 + (-8 * -1 + 3x * -1) + 4(3x + -5) + -1 = 2 + (5 + -1x) 12 + (8 + -3x) + 4(3x + -5) + -1 = 2 + (5 + -1x) Reorder the terms: 12 + 8 + -3x + 4(-5 + 3x) + -1 = 2 + (5 + -1x) 12 + 8 + -3x + (-5 * 4 + 3x * 4) + -1 = 2 + (5 + -1x) 12 + 8 + -3x + (-20 + 12x) + -1 = 2 + (5 + -1x) Reorder the terms: 12 + 8 + -20 + -1 + -3x + 12x = 2 + (5 + -1x) Combine like terms: 12 + 8 = 20 20 + -20 + -1 + -3x + 12x = 2 + (5 + -1x) Combine like terms: 20 + -20 = 0 0 + -1 + -3x + 12x = 2 + (5 + -1x) -1 + -3x + 12x = 2 + (5 + -1x) Combine like terms: -3x + 12x = 9x -1 + 9x = 2 + (5 + -1x) Remove parenthesis around (5 + -1x) -1 + 9x = 2 + 5 + -1x Combine like terms: 2 + 5 = 7 -1 + 9x = 7 + -1x Solving -1 + 9x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 9x + x = 7 + -1x + x Combine like terms: 9x + x = 10x -1 + 10x = 7 + -1x + x Combine like terms: -1x + x = 0 -1 + 10x = 7 + 0 -1 + 10x = 7 Add '1' to each side of the equation. -1 + 1 + 10x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = 7 + 1 10x = 7 + 1 Combine like terms: 7 + 1 = 8 10x = 8 Divide each side by '10'. x = 0.8 Simplifying x = 0.8
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