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Simplifying 5x + -41 = -3(x + 3) Reorder the terms: -41 + 5x = -3(x + 3) Reorder the terms: -41 + 5x = -3(3 + x) -41 + 5x = (3 * -3 + x * -3) -41 + 5x = (-9 + -3x) Solving -41 + 5x = -9 + -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. -41 + 5x + 3x = -9 + -3x + 3x Combine like terms: 5x + 3x = 8x -41 + 8x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -41 + 8x = -9 + 0 -41 + 8x = -9 Add '41' to each side of the equation. -41 + 41 + 8x = -9 + 41 Combine like terms: -41 + 41 = 0 0 + 8x = -9 + 41 8x = -9 + 41 Combine like terms: -9 + 41 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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