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Simplifying 35x + 10 = 5(3x + 30) Reorder the terms: 10 + 35x = 5(3x + 30) Reorder the terms: 10 + 35x = 5(30 + 3x) 10 + 35x = (30 * 5 + 3x * 5) 10 + 35x = (150 + 15x) Solving 10 + 35x = 150 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + 35x + -15x = 150 + 15x + -15x Combine like terms: 35x + -15x = 20x 10 + 20x = 150 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + 20x = 150 + 0 10 + 20x = 150 Add '-10' to each side of the equation. 10 + -10 + 20x = 150 + -10 Combine like terms: 10 + -10 = 0 0 + 20x = 150 + -10 20x = 150 + -10 Combine like terms: 150 + -10 = 140 20x = 140 Divide each side by '20'. x = 7 Simplifying x = 7
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