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Simplifying -5(x + -9) = -3x + 41 Reorder the terms: -5(-9 + x) = -3x + 41 (-9 * -5 + x * -5) = -3x + 41 (45 + -5x) = -3x + 41 Reorder the terms: 45 + -5x = 41 + -3x Solving 45 + -5x = 41 + -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. 45 + -5x + 3x = 41 + -3x + 3x Combine like terms: -5x + 3x = -2x 45 + -2x = 41 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + -2x = 41 + 0 45 + -2x = 41 Add '-45' to each side of the equation. 45 + -45 + -2x = 41 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 41 + -45 -2x = 41 + -45 Combine like terms: 41 + -45 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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