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Simplifying -7(2x + 4) = -44 + -3x + 5x Reorder the terms: -7(4 + 2x) = -44 + -3x + 5x (4 * -7 + 2x * -7) = -44 + -3x + 5x (-28 + -14x) = -44 + -3x + 5x Combine like terms: -3x + 5x = 2x -28 + -14x = -44 + 2x Solving -28 + -14x = -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. -28 + -14x + -2x = -44 + 2x + -2x Combine like terms: -14x + -2x = -16x -28 + -16x = -44 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + -16x = -44 + 0 -28 + -16x = -44 Add '28' to each side of the equation. -28 + 28 + -16x = -44 + 28 Combine like terms: -28 + 28 = 0 0 + -16x = -44 + 28 -16x = -44 + 28 Combine like terms: -44 + 28 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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