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Simplifying 4(3x + -2) = 44 + -14x Reorder the terms: 4(-2 + 3x) = 44 + -14x (-2 * 4 + 3x * 4) = 44 + -14x (-8 + 12x) = 44 + -14x Solving -8 + 12x = 44 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -8 + 12x + 14x = 44 + -14x + 14x Combine like terms: 12x + 14x = 26x -8 + 26x = 44 + -14x + 14x Combine like terms: -14x + 14x = 0 -8 + 26x = 44 + 0 -8 + 26x = 44 Add '8' to each side of the equation. -8 + 8 + 26x = 44 + 8 Combine like terms: -8 + 8 = 0 0 + 26x = 44 + 8 26x = 44 + 8 Combine like terms: 44 + 8 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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