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Simplifying 45(x + -8) = 40 + 5x Reorder the terms: 45(-8 + x) = 40 + 5x (-8 * 45 + x * 45) = 40 + 5x (-360 + 45x) = 40 + 5x Solving -360 + 45x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -360 + 45x + -5x = 40 + 5x + -5x Combine like terms: 45x + -5x = 40x -360 + 40x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -360 + 40x = 40 + 0 -360 + 40x = 40 Add '360' to each side of the equation. -360 + 360 + 40x = 40 + 360 Combine like terms: -360 + 360 = 0 0 + 40x = 40 + 360 40x = 40 + 360 Combine like terms: 40 + 360 = 400 40x = 400 Divide each side by '40'. x = 10 Simplifying x = 10
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