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