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Simplifying 44 = 2(4 + 3x) + 2(4 + 5x) 44 = (4 * 2 + 3x * 2) + 2(4 + 5x) 44 = (8 + 6x) + 2(4 + 5x) 44 = 8 + 6x + (4 * 2 + 5x * 2) 44 = 8 + 6x + (8 + 10x) Reorder the terms: 44 = 8 + 8 + 6x + 10x Combine like terms: 8 + 8 = 16 44 = 16 + 6x + 10x Combine like terms: 6x + 10x = 16x 44 = 16 + 16x Solving 44 = 16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 44 + -16x = 16 + 16x + -16x Combine like terms: 16x + -16x = 0 44 + -16x = 16 + 0 44 + -16x = 16 Add '-44' to each side of the equation. 44 + -44 + -16x = 16 + -44 Combine like terms: 44 + -44 = 0 0 + -16x = 16 + -44 -16x = 16 + -44 Combine like terms: 16 + -44 = -28 -16x = -28 Divide each side by '-16'. x = 1.75 Simplifying x = 1.75
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