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Simplifying 90 + 11x = 5(x + 30) Reorder the terms: 90 + 11x = 5(30 + x) 90 + 11x = (30 * 5 + x * 5) 90 + 11x = (150 + 5x) Solving 90 + 11x = 150 + 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. 90 + 11x + -5x = 150 + 5x + -5x Combine like terms: 11x + -5x = 6x 90 + 6x = 150 + 5x + -5x Combine like terms: 5x + -5x = 0 90 + 6x = 150 + 0 90 + 6x = 150 Add '-90' to each side of the equation. 90 + -90 + 6x = 150 + -90 Combine like terms: 90 + -90 = 0 0 + 6x = 150 + -90 6x = 150 + -90 Combine like terms: 150 + -90 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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