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Simplifying 8 = 3 + -5(x + 2) Reorder the terms: 8 = 3 + -5(2 + x) 8 = 3 + (2 * -5 + x * -5) 8 = 3 + (-10 + -5x) Combine like terms: 3 + -10 = -7 8 = -7 + -5x Solving 8 = -7 + -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. 8 + 5x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 5x = -7 + 0 8 + 5x = -7 Add '-8' to each side of the equation. 8 + -8 + 5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -7 + -8 5x = -7 + -8 Combine like terms: -7 + -8 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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