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Simplifying 5x + 5(2 + 6x) = 10 + 3x 5x + (2 * 5 + 6x * 5) = 10 + 3x 5x + (10 + 30x) = 10 + 3x Reorder the terms: 10 + 5x + 30x = 10 + 3x Combine like terms: 5x + 30x = 35x 10 + 35x = 10 + 3x Add '-10' to each side of the equation. 10 + -10 + 35x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + 35x = 10 + -10 + 3x 35x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 35x = 0 + 3x 35x = 3x Solving 35x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35x + -3x = 3x + -3x Combine like terms: 35x + -3x = 32x 32x = 3x + -3x Combine like terms: 3x + -3x = 0 32x = 0 Divide each side by '32'. x = 0 Simplifying x = 0
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