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Simplifying 5x + -1(5 + -2x) = 45 + -3x 5x + (5 * -1 + -2x * -1) = 45 + -3x 5x + (-5 + 2x) = 45 + -3x Reorder the terms: -5 + 5x + 2x = 45 + -3x Combine like terms: 5x + 2x = 7x -5 + 7x = 45 + -3x Solving -5 + 7x = 45 + -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 + 7x + 3x = 45 + -3x + 3x Combine like terms: 7x + 3x = 10x -5 + 10x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 10x = 45 + 0 -5 + 10x = 45 Add '5' to each side of the equation. -5 + 5 + 10x = 45 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 45 + 5 10x = 45 + 5 Combine like terms: 45 + 5 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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