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