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Simplifying 3x + -2(3x + 5) + 5(2x + 8) = 44 Reorder the terms: 3x + -2(5 + 3x) + 5(2x + 8) = 44 3x + (5 * -2 + 3x * -2) + 5(2x + 8) = 44 3x + (-10 + -6x) + 5(2x + 8) = 44 Reorder the terms: 3x + -10 + -6x + 5(8 + 2x) = 44 3x + -10 + -6x + (8 * 5 + 2x * 5) = 44 3x + -10 + -6x + (40 + 10x) = 44 Reorder the terms: -10 + 40 + 3x + -6x + 10x = 44 Combine like terms: -10 + 40 = 30 30 + 3x + -6x + 10x = 44 Combine like terms: 3x + -6x = -3x 30 + -3x + 10x = 44 Combine like terms: -3x + 10x = 7x 30 + 7x = 44 Solving 30 + 7x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 44 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 44 + -30 7x = 44 + -30 Combine like terms: 44 + -30 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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