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Simplifying 2(3x + 4) + 4(2x + 18) = 36 Reorder the terms: 2(4 + 3x) + 4(2x + 18) = 36 (4 * 2 + 3x * 2) + 4(2x + 18) = 36 (8 + 6x) + 4(2x + 18) = 36 Reorder the terms: 8 + 6x + 4(18 + 2x) = 36 8 + 6x + (18 * 4 + 2x * 4) = 36 8 + 6x + (72 + 8x) = 36 Reorder the terms: 8 + 72 + 6x + 8x = 36 Combine like terms: 8 + 72 = 80 80 + 6x + 8x = 36 Combine like terms: 6x + 8x = 14x 80 + 14x = 36 Solving 80 + 14x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 14x = 36 + -80 Combine like terms: 80 + -80 = 0 0 + 14x = 36 + -80 14x = 36 + -80 Combine like terms: 36 + -80 = -44 14x = -44 Divide each side by '14'. x = -3.142857143 Simplifying x = -3.142857143
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