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Simplifying 2(3x + 5) + 9 = 5 + 4x Reorder the terms: 2(5 + 3x) + 9 = 5 + 4x (5 * 2 + 3x * 2) + 9 = 5 + 4x (10 + 6x) + 9 = 5 + 4x Reorder the terms: 10 + 9 + 6x = 5 + 4x Combine like terms: 10 + 9 = 19 19 + 6x = 5 + 4x Solving 19 + 6x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 19 + 6x + -4x = 5 + 4x + -4x Combine like terms: 6x + -4x = 2x 19 + 2x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + 2x = 5 + 0 19 + 2x = 5 Add '-19' to each side of the equation. 19 + -19 + 2x = 5 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 5 + -19 2x = 5 + -19 Combine like terms: 5 + -19 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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