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Simplifying 6(x + 35) = 11x Reorder the terms: 6(35 + x) = 11x (35 * 6 + x * 6) = 11x (210 + 6x) = 11x Solving 210 + 6x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 210 + 6x + -11x = 11x + -11x Combine like terms: 6x + -11x = -5x 210 + -5x = 11x + -11x Combine like terms: 11x + -11x = 0 210 + -5x = 0 Add '-210' to each side of the equation. 210 + -210 + -5x = 0 + -210 Combine like terms: 210 + -210 = 0 0 + -5x = 0 + -210 -5x = 0 + -210 Combine like terms: 0 + -210 = -210 -5x = -210 Divide each side by '-5'. x = 42 Simplifying x = 42
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