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Simplifying -5(x + 6) + -45 = 1 + -41 Reorder the terms: -5(6 + x) + -45 = 1 + -41 (6 * -5 + x * -5) + -45 = 1 + -41 (-30 + -5x) + -45 = 1 + -41 Reorder the terms: -30 + -45 + -5x = 1 + -41 Combine like terms: -30 + -45 = -75 -75 + -5x = 1 + -41 Combine like terms: 1 + -41 = -40 -75 + -5x = -40 Solving -75 + -5x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -5x = -40 + 75 Combine like terms: -75 + 75 = 0 0 + -5x = -40 + 75 -5x = -40 + 75 Combine like terms: -40 + 75 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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