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Simplifying 10 + 2x = 3(3x + 1) Reorder the terms: 10 + 2x = 3(1 + 3x) 10 + 2x = (1 * 3 + 3x * 3) 10 + 2x = (3 + 9x) Solving 10 + 2x = 3 + 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. 10 + 2x + -9x = 3 + 9x + -9x Combine like terms: 2x + -9x = -7x 10 + -7x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -7x = 3 + 0 10 + -7x = 3 Add '-10' to each side of the equation. 10 + -10 + -7x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 3 + -10 -7x = 3 + -10 Combine like terms: 3 + -10 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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