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Simplifying -5x + -41 = 5(2x + 2) + 9 Reorder the terms: -41 + -5x = 5(2x + 2) + 9 Reorder the terms: -41 + -5x = 5(2 + 2x) + 9 -41 + -5x = (2 * 5 + 2x * 5) + 9 -41 + -5x = (10 + 10x) + 9 Reorder the terms: -41 + -5x = 10 + 9 + 10x Combine like terms: 10 + 9 = 19 -41 + -5x = 19 + 10x Solving -41 + -5x = 19 + 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 = 19 + 10x + -10x Combine like terms: -5x + -10x = -15x -41 + -15x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 -41 + -15x = 19 + 0 -41 + -15x = 19 Add '41' to each side of the equation. -41 + 41 + -15x = 19 + 41 Combine like terms: -41 + 41 = 0 0 + -15x = 19 + 41 -15x = 19 + 41 Combine like terms: 19 + 41 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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