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Simplifying -4(-8x + 9) = -2(-7x + -9) Reorder the terms: -4(9 + -8x) = -2(-7x + -9) (9 * -4 + -8x * -4) = -2(-7x + -9) (-36 + 32x) = -2(-7x + -9) Reorder the terms: -36 + 32x = -2(-9 + -7x) -36 + 32x = (-9 * -2 + -7x * -2) -36 + 32x = (18 + 14x) Solving -36 + 32x = 18 + 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. -36 + 32x + -14x = 18 + 14x + -14x Combine like terms: 32x + -14x = 18x -36 + 18x = 18 + 14x + -14x Combine like terms: 14x + -14x = 0 -36 + 18x = 18 + 0 -36 + 18x = 18 Add '36' to each side of the equation. -36 + 36 + 18x = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 18x = 18 + 36 18x = 18 + 36 Combine like terms: 18 + 36 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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