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Simplifying -4x + 10(3 + -4x) = 11x + 6(5 + 2x) -4x + (3 * 10 + -4x * 10) = 11x + 6(5 + 2x) -4x + (30 + -40x) = 11x + 6(5 + 2x) Reorder the terms: 30 + -4x + -40x = 11x + 6(5 + 2x) Combine like terms: -4x + -40x = -44x 30 + -44x = 11x + 6(5 + 2x) 30 + -44x = 11x + (5 * 6 + 2x * 6) 30 + -44x = 11x + (30 + 12x) Reorder the terms: 30 + -44x = 30 + 11x + 12x Combine like terms: 11x + 12x = 23x 30 + -44x = 30 + 23x Add '-30' to each side of the equation. 30 + -30 + -44x = 30 + -30 + 23x Combine like terms: 30 + -30 = 0 0 + -44x = 30 + -30 + 23x -44x = 30 + -30 + 23x Combine like terms: 30 + -30 = 0 -44x = 0 + 23x -44x = 23x Solving -44x = 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -44x + -23x = 23x + -23x Combine like terms: -44x + -23x = -67x -67x = 23x + -23x Combine like terms: 23x + -23x = 0 -67x = 0 Divide each side by '-67'. x = 0 Simplifying x = 0
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