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Simplifying 2(x + 5) = 3(3x + 3) Reorder the terms: 2(5 + x) = 3(3x + 3) (5 * 2 + x * 2) = 3(3x + 3) (10 + 2x) = 3(3x + 3) Reorder the terms: 10 + 2x = 3(3 + 3x) 10 + 2x = (3 * 3 + 3x * 3) 10 + 2x = (9 + 9x) Solving 10 + 2x = 9 + 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 = 9 + 9x + -9x Combine like terms: 2x + -9x = -7x 10 + -7x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -7x = 9 + 0 10 + -7x = 9 Add '-10' to each side of the equation. 10 + -10 + -7x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 9 + -10 -7x = 9 + -10 Combine like terms: 9 + -10 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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