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Simplifying 2(5x + 3) + -9 = 3x + 18 Reorder the terms: 2(3 + 5x) + -9 = 3x + 18 (3 * 2 + 5x * 2) + -9 = 3x + 18 (6 + 10x) + -9 = 3x + 18 Reorder the terms: 6 + -9 + 10x = 3x + 18 Combine like terms: 6 + -9 = -3 -3 + 10x = 3x + 18 Reorder the terms: -3 + 10x = 18 + 3x Solving -3 + 10x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 10x + -3x = 18 + 3x + -3x Combine like terms: 10x + -3x = 7x -3 + 7x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 7x = 18 + 0 -3 + 7x = 18 Add '3' to each side of the equation. -3 + 3 + 7x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 18 + 3 7x = 18 + 3 Combine like terms: 18 + 3 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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