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Simplifying 2(4x + -9) = 15 + -4x Reorder the terms: 2(-9 + 4x) = 15 + -4x (-9 * 2 + 4x * 2) = 15 + -4x (-18 + 8x) = 15 + -4x Solving -18 + 8x = 15 + -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. -18 + 8x + 4x = 15 + -4x + 4x Combine like terms: 8x + 4x = 12x -18 + 12x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 12x = 15 + 0 -18 + 12x = 15 Add '18' to each side of the equation. -18 + 18 + 12x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 15 + 18 12x = 15 + 18 Combine like terms: 15 + 18 = 33 12x = 33 Divide each side by '12'. x = 2.75 Simplifying x = 2.75
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