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Simplifying 6(10 + -5x) = 45 + -5(5x + 1) (10 * 6 + -5x * 6) = 45 + -5(5x + 1) (60 + -30x) = 45 + -5(5x + 1) Reorder the terms: 60 + -30x = 45 + -5(1 + 5x) 60 + -30x = 45 + (1 * -5 + 5x * -5) 60 + -30x = 45 + (-5 + -25x) Combine like terms: 45 + -5 = 40 60 + -30x = 40 + -25x Solving 60 + -30x = 40 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 60 + -30x + 25x = 40 + -25x + 25x Combine like terms: -30x + 25x = -5x 60 + -5x = 40 + -25x + 25x Combine like terms: -25x + 25x = 0 60 + -5x = 40 + 0 60 + -5x = 40 Add '-60' to each side of the equation. 60 + -60 + -5x = 40 + -60 Combine like terms: 60 + -60 = 0 0 + -5x = 40 + -60 -5x = 40 + -60 Combine like terms: 40 + -60 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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