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Simplifying -5(x + 4) + -41 = 2 + -23 Reorder the terms: -5(4 + x) + -41 = 2 + -23 (4 * -5 + x * -5) + -41 = 2 + -23 (-20 + -5x) + -41 = 2 + -23 Reorder the terms: -20 + -41 + -5x = 2 + -23 Combine like terms: -20 + -41 = -61 -61 + -5x = 2 + -23 Combine like terms: 2 + -23 = -21 -61 + -5x = -21 Solving -61 + -5x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -5x = -21 + 61 Combine like terms: -61 + 61 = 0 0 + -5x = -21 + 61 -5x = -21 + 61 Combine like terms: -21 + 61 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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