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Simplifying 5x + -1(2x + 5) = x + 45 Reorder the terms: 5x + -1(5 + 2x) = x + 45 5x + (5 * -1 + 2x * -1) = x + 45 5x + (-5 + -2x) = x + 45 Reorder the terms: -5 + 5x + -2x = x + 45 Combine like terms: 5x + -2x = 3x -5 + 3x = x + 45 Reorder the terms: -5 + 3x = 45 + x Solving -5 + 3x = 45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 3x + -1x = 45 + x + -1x Combine like terms: 3x + -1x = 2x -5 + 2x = 45 + x + -1x Combine like terms: x + -1x = 0 -5 + 2x = 45 + 0 -5 + 2x = 45 Add '5' to each side of the equation. -5 + 5 + 2x = 45 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 45 + 5 2x = 45 + 5 Combine like terms: 45 + 5 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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