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Simplifying 2x + 3 = -1(4x + 5) Reorder the terms: 3 + 2x = -1(4x + 5) Reorder the terms: 3 + 2x = -1(5 + 4x) 3 + 2x = (5 * -1 + 4x * -1) 3 + 2x = (-5 + -4x) Solving 3 + 2x = -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. 3 + 2x + 4x = -5 + -4x + 4x Combine like terms: 2x + 4x = 6x 3 + 6x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 6x = -5 + 0 3 + 6x = -5 Add '-3' to each side of the equation. 3 + -3 + 6x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -5 + -3 6x = -5 + -3 Combine like terms: -5 + -3 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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