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Simplifying 3(2x + -9) + -2(4x + -5) = -25 Reorder the terms: 3(-9 + 2x) + -2(4x + -5) = -25 (-9 * 3 + 2x * 3) + -2(4x + -5) = -25 (-27 + 6x) + -2(4x + -5) = -25 Reorder the terms: -27 + 6x + -2(-5 + 4x) = -25 -27 + 6x + (-5 * -2 + 4x * -2) = -25 -27 + 6x + (10 + -8x) = -25 Reorder the terms: -27 + 10 + 6x + -8x = -25 Combine like terms: -27 + 10 = -17 -17 + 6x + -8x = -25 Combine like terms: 6x + -8x = -2x -17 + -2x = -25 Solving -17 + -2x = -25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -2x = -25 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = -25 + 17 -2x = -25 + 17 Combine like terms: -25 + 17 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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