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Simplifying x + -3 + 2(3x + 4) = -5(x + 1) Reorder the terms: x + -3 + 2(4 + 3x) = -5(x + 1) x + -3 + (4 * 2 + 3x * 2) = -5(x + 1) x + -3 + (8 + 6x) = -5(x + 1) Reorder the terms: -3 + 8 + x + 6x = -5(x + 1) Combine like terms: -3 + 8 = 5 5 + x + 6x = -5(x + 1) Combine like terms: x + 6x = 7x 5 + 7x = -5(x + 1) Reorder the terms: 5 + 7x = -5(1 + x) 5 + 7x = (1 * -5 + x * -5) 5 + 7x = (-5 + -5x) Solving 5 + 7x = -5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 7x + 5x = -5 + -5x + 5x Combine like terms: 7x + 5x = 12x 5 + 12x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 12x = -5 + 0 5 + 12x = -5 Add '-5' to each side of the equation. 5 + -5 + 12x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -5 + -5 12x = -5 + -5 Combine like terms: -5 + -5 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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