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Simplifying 10x + 2 = 3(3x + 5) Reorder the terms: 2 + 10x = 3(3x + 5) Reorder the terms: 2 + 10x = 3(5 + 3x) 2 + 10x = (5 * 3 + 3x * 3) 2 + 10x = (15 + 9x) Solving 2 + 10x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 10x + -9x = 15 + 9x + -9x Combine like terms: 10x + -9x = 1x 2 + 1x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + 1x = 15 + 0 2 + 1x = 15 Add '-2' to each side of the equation. 2 + -2 + 1x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 15 + -2 1x = 15 + -2 Combine like terms: 15 + -2 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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