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Simplifying 2(3x + 5) + 4x = 9x + 18 Reorder the terms: 2(5 + 3x) + 4x = 9x + 18 (5 * 2 + 3x * 2) + 4x = 9x + 18 (10 + 6x) + 4x = 9x + 18 Combine like terms: 6x + 4x = 10x 10 + 10x = 9x + 18 Reorder the terms: 10 + 10x = 18 + 9x Solving 10 + 10x = 18 + 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 + 10x + -9x = 18 + 9x + -9x Combine like terms: 10x + -9x = 1x 10 + 1x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 1x = 18 + 0 10 + 1x = 18 Add '-10' to each side of the equation. 10 + -10 + 1x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 18 + -10 1x = 18 + -10 Combine like terms: 18 + -10 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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