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Simplifying 5(2x + -4) + -6 = 5x + -41 Reorder the terms: 5(-4 + 2x) + -6 = 5x + -41 (-4 * 5 + 2x * 5) + -6 = 5x + -41 (-20 + 10x) + -6 = 5x + -41 Reorder the terms: -20 + -6 + 10x = 5x + -41 Combine like terms: -20 + -6 = -26 -26 + 10x = 5x + -41 Reorder the terms: -26 + 10x = -41 + 5x Solving -26 + 10x = -41 + 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. -26 + 10x + -5x = -41 + 5x + -5x Combine like terms: 10x + -5x = 5x -26 + 5x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 -26 + 5x = -41 + 0 -26 + 5x = -41 Add '26' to each side of the equation. -26 + 26 + 5x = -41 + 26 Combine like terms: -26 + 26 = 0 0 + 5x = -41 + 26 5x = -41 + 26 Combine like terms: -41 + 26 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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