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Simplifying -9(6 + -2x) = -4(14 + -5x) (6 * -9 + -2x * -9) = -4(14 + -5x) (-54 + 18x) = -4(14 + -5x) -54 + 18x = (14 * -4 + -5x * -4) -54 + 18x = (-56 + 20x) Solving -54 + 18x = -56 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -54 + 18x + -20x = -56 + 20x + -20x Combine like terms: 18x + -20x = -2x -54 + -2x = -56 + 20x + -20x Combine like terms: 20x + -20x = 0 -54 + -2x = -56 + 0 -54 + -2x = -56 Add '54' to each side of the equation. -54 + 54 + -2x = -56 + 54 Combine like terms: -54 + 54 = 0 0 + -2x = -56 + 54 -2x = -56 + 54 Combine like terms: -56 + 54 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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