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Simplifying 11 + -2(3x + -10) = 5(4 + -1x) Reorder the terms: 11 + -2(-10 + 3x) = 5(4 + -1x) 11 + (-10 * -2 + 3x * -2) = 5(4 + -1x) 11 + (20 + -6x) = 5(4 + -1x) Combine like terms: 11 + 20 = 31 31 + -6x = 5(4 + -1x) 31 + -6x = (4 * 5 + -1x * 5) 31 + -6x = (20 + -5x) Solving 31 + -6x = 20 + -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. 31 + -6x + 5x = 20 + -5x + 5x Combine like terms: -6x + 5x = -1x 31 + -1x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 31 + -1x = 20 + 0 31 + -1x = 20 Add '-31' to each side of the equation. 31 + -31 + -1x = 20 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 20 + -31 -1x = 20 + -31 Combine like terms: 20 + -31 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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