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Simplifying 5x + 41 = 2(5x + -2) Reorder the terms: 41 + 5x = 2(5x + -2) Reorder the terms: 41 + 5x = 2(-2 + 5x) 41 + 5x = (-2 * 2 + 5x * 2) 41 + 5x = (-4 + 10x) Solving 41 + 5x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 41 + 5x + -10x = -4 + 10x + -10x Combine like terms: 5x + -10x = -5x 41 + -5x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 41 + -5x = -4 + 0 41 + -5x = -4 Add '-41' to each side of the equation. 41 + -41 + -5x = -4 + -41 Combine like terms: 41 + -41 = 0 0 + -5x = -4 + -41 -5x = -4 + -41 Combine like terms: -4 + -41 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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