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Simplifying 6(2x + -18) = 4x + -75 Reorder the terms: 6(-18 + 2x) = 4x + -75 (-18 * 6 + 2x * 6) = 4x + -75 (-108 + 12x) = 4x + -75 Reorder the terms: -108 + 12x = -75 + 4x Solving -108 + 12x = -75 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -108 + 12x + -4x = -75 + 4x + -4x Combine like terms: 12x + -4x = 8x -108 + 8x = -75 + 4x + -4x Combine like terms: 4x + -4x = 0 -108 + 8x = -75 + 0 -108 + 8x = -75 Add '108' to each side of the equation. -108 + 108 + 8x = -75 + 108 Combine like terms: -108 + 108 = 0 0 + 8x = -75 + 108 8x = -75 + 108 Combine like terms: -75 + 108 = 33 8x = 33 Divide each side by '8'. x = 4.125 Simplifying x = 4.125
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