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Simplifying 7(2x + -3) + -2(4x + -9) = -75 Reorder the terms: 7(-3 + 2x) + -2(4x + -9) = -75 (-3 * 7 + 2x * 7) + -2(4x + -9) = -75 (-21 + 14x) + -2(4x + -9) = -75 Reorder the terms: -21 + 14x + -2(-9 + 4x) = -75 -21 + 14x + (-9 * -2 + 4x * -2) = -75 -21 + 14x + (18 + -8x) = -75 Reorder the terms: -21 + 18 + 14x + -8x = -75 Combine like terms: -21 + 18 = -3 -3 + 14x + -8x = -75 Combine like terms: 14x + -8x = 6x -3 + 6x = -75 Solving -3 + 6x = -75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6x = -75 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = -75 + 3 6x = -75 + 3 Combine like terms: -75 + 3 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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