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