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Simplifying -3(4x + 5) = -7(2x + 4) Reorder the terms: -3(5 + 4x) = -7(2x + 4) (5 * -3 + 4x * -3) = -7(2x + 4) (-15 + -12x) = -7(2x + 4) Reorder the terms: -15 + -12x = -7(4 + 2x) -15 + -12x = (4 * -7 + 2x * -7) -15 + -12x = (-28 + -14x) Solving -15 + -12x = -28 + -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. -15 + -12x + 14x = -28 + -14x + 14x Combine like terms: -12x + 14x = 2x -15 + 2x = -28 + -14x + 14x Combine like terms: -14x + 14x = 0 -15 + 2x = -28 + 0 -15 + 2x = -28 Add '15' to each side of the equation. -15 + 15 + 2x = -28 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -28 + 15 2x = -28 + 15 Combine like terms: -28 + 15 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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