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Simplifying 44 = 2(3x + 8) + 2(2.5x + -2) Reorder the terms: 44 = 2(8 + 3x) + 2(2.5x + -2) 44 = (8 * 2 + 3x * 2) + 2(2.5x + -2) 44 = (16 + 6x) + 2(2.5x + -2) Reorder the terms: 44 = 16 + 6x + 2(-2 + 2.5x) 44 = 16 + 6x + (-2 * 2 + 2.5x * 2) 44 = 16 + 6x + (-4 + 5x) Reorder the terms: 44 = 16 + -4 + 6x + 5x Combine like terms: 16 + -4 = 12 44 = 12 + 6x + 5x Combine like terms: 6x + 5x = 11x 44 = 12 + 11x Solving 44 = 12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 44 + -11x = 12 + 11x + -11x Combine like terms: 11x + -11x = 0 44 + -11x = 12 + 0 44 + -11x = 12 Add '-44' to each side of the equation. 44 + -44 + -11x = 12 + -44 Combine like terms: 44 + -44 = 0 0 + -11x = 12 + -44 -11x = 12 + -44 Combine like terms: 12 + -44 = -32 -11x = -32 Divide each side by '-11'. x = 2.909090909 Simplifying x = 2.909090909
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