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Simplifying -2(-3 + -4x) + 3(2x + 8) = 44 (-3 * -2 + -4x * -2) + 3(2x + 8) = 44 (6 + 8x) + 3(2x + 8) = 44 Reorder the terms: 6 + 8x + 3(8 + 2x) = 44 6 + 8x + (8 * 3 + 2x * 3) = 44 6 + 8x + (24 + 6x) = 44 Reorder the terms: 6 + 24 + 8x + 6x = 44 Combine like terms: 6 + 24 = 30 30 + 8x + 6x = 44 Combine like terms: 8x + 6x = 14x 30 + 14x = 44 Solving 30 + 14x = 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 + 14x = 44 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 44 + -30 14x = 44 + -30 Combine like terms: 44 + -30 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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