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Simplifying 40 + -5(2x + -20) = 30 + -5x + 10 Reorder the terms: 40 + -5(-20 + 2x) = 30 + -5x + 10 40 + (-20 * -5 + 2x * -5) = 30 + -5x + 10 40 + (100 + -10x) = 30 + -5x + 10 Combine like terms: 40 + 100 = 140 140 + -10x = 30 + -5x + 10 Reorder the terms: 140 + -10x = 30 + 10 + -5x Combine like terms: 30 + 10 = 40 140 + -10x = 40 + -5x Solving 140 + -10x = 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. 140 + -10x + 5x = 40 + -5x + 5x Combine like terms: -10x + 5x = -5x 140 + -5x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 140 + -5x = 40 + 0 140 + -5x = 40 Add '-140' to each side of the equation. 140 + -140 + -5x = 40 + -140 Combine like terms: 140 + -140 = 0 0 + -5x = 40 + -140 -5x = 40 + -140 Combine like terms: 40 + -140 = -100 -5x = -100 Divide each side by '-5'. x = 20 Simplifying x = 20
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