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Simplifying 5(1 + 11x) = 10(6x + 3) (1 * 5 + 11x * 5) = 10(6x + 3) (5 + 55x) = 10(6x + 3) Reorder the terms: 5 + 55x = 10(3 + 6x) 5 + 55x = (3 * 10 + 6x * 10) 5 + 55x = (30 + 60x) Solving 5 + 55x = 30 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 5 + 55x + -60x = 30 + 60x + -60x Combine like terms: 55x + -60x = -5x 5 + -5x = 30 + 60x + -60x Combine like terms: 60x + -60x = 0 5 + -5x = 30 + 0 5 + -5x = 30 Add '-5' to each side of the equation. 5 + -5 + -5x = 30 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 30 + -5 -5x = 30 + -5 Combine like terms: 30 + -5 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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