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Simplifying 3(5x + 1) = 6x + 10 Reorder the terms: 3(1 + 5x) = 6x + 10 (1 * 3 + 5x * 3) = 6x + 10 (3 + 15x) = 6x + 10 Reorder the terms: 3 + 15x = 10 + 6x Solving 3 + 15x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 15x + -6x = 10 + 6x + -6x Combine like terms: 15x + -6x = 9x 3 + 9x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 9x = 10 + 0 3 + 9x = 10 Add '-3' to each side of the equation. 3 + -3 + 9x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 10 + -3 9x = 10 + -3 Combine like terms: 10 + -3 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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