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