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Simplifying -7(2x + 7) = -3(3x + 8) Reorder the terms: -7(7 + 2x) = -3(3x + 8) (7 * -7 + 2x * -7) = -3(3x + 8) (-49 + -14x) = -3(3x + 8) Reorder the terms: -49 + -14x = -3(8 + 3x) -49 + -14x = (8 * -3 + 3x * -3) -49 + -14x = (-24 + -9x) Solving -49 + -14x = -24 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -49 + -14x + 9x = -24 + -9x + 9x Combine like terms: -14x + 9x = -5x -49 + -5x = -24 + -9x + 9x Combine like terms: -9x + 9x = 0 -49 + -5x = -24 + 0 -49 + -5x = -24 Add '49' to each side of the equation. -49 + 49 + -5x = -24 + 49 Combine like terms: -49 + 49 = 0 0 + -5x = -24 + 49 -5x = -24 + 49 Combine like terms: -24 + 49 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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