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Simplifying 2(4x + 5) = 2x + 44 Reorder the terms: 2(5 + 4x) = 2x + 44 (5 * 2 + 4x * 2) = 2x + 44 (10 + 8x) = 2x + 44 Reorder the terms: 10 + 8x = 44 + 2x Solving 10 + 8x = 44 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 8x + -2x = 44 + 2x + -2x Combine like terms: 8x + -2x = 6x 10 + 6x = 44 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 6x = 44 + 0 10 + 6x = 44 Add '-10' to each side of the equation. 10 + -10 + 6x = 44 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 44 + -10 6x = 44 + -10 Combine like terms: 44 + -10 = 34 6x = 34 Divide each side by '6'. x = 5.666666667 Simplifying x = 5.666666667
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