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Simplifying 3x + -5(-2x + 3) + -8 = 12 + -1(3x + 5) Reorder the terms: 3x + -5(3 + -2x) + -8 = 12 + -1(3x + 5) 3x + (3 * -5 + -2x * -5) + -8 = 12 + -1(3x + 5) 3x + (-15 + 10x) + -8 = 12 + -1(3x + 5) Reorder the terms: -15 + -8 + 3x + 10x = 12 + -1(3x + 5) Combine like terms: -15 + -8 = -23 -23 + 3x + 10x = 12 + -1(3x + 5) Combine like terms: 3x + 10x = 13x -23 + 13x = 12 + -1(3x + 5) Reorder the terms: -23 + 13x = 12 + -1(5 + 3x) -23 + 13x = 12 + (5 * -1 + 3x * -1) -23 + 13x = 12 + (-5 + -3x) Combine like terms: 12 + -5 = 7 -23 + 13x = 7 + -3x Solving -23 + 13x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -23 + 13x + 3x = 7 + -3x + 3x Combine like terms: 13x + 3x = 16x -23 + 16x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -23 + 16x = 7 + 0 -23 + 16x = 7 Add '23' to each side of the equation. -23 + 23 + 16x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 16x = 7 + 23 16x = 7 + 23 Combine like terms: 7 + 23 = 30 16x = 30 Divide each side by '16'. x = 1.875 Simplifying x = 1.875
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