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Simplifying -45 = 5x + 5(-2x + 2) Reorder the terms: -45 = 5x + 5(2 + -2x) -45 = 5x + (2 * 5 + -2x * 5) -45 = 5x + (10 + -10x) Reorder the terms: -45 = 10 + 5x + -10x Combine like terms: 5x + -10x = -5x -45 = 10 + -5x Solving -45 = 10 + -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. -45 + 5x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -45 + 5x = 10 + 0 -45 + 5x = 10 Add '45' to each side of the equation. -45 + 45 + 5x = 10 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = 10 + 45 5x = 10 + 45 Combine like terms: 10 + 45 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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