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Simplifying 2(2x + -9) = 3(4x + 1) Reorder the terms: 2(-9 + 2x) = 3(4x + 1) (-9 * 2 + 2x * 2) = 3(4x + 1) (-18 + 4x) = 3(4x + 1) Reorder the terms: -18 + 4x = 3(1 + 4x) -18 + 4x = (1 * 3 + 4x * 3) -18 + 4x = (3 + 12x) Solving -18 + 4x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 4x + -12x = 3 + 12x + -12x Combine like terms: 4x + -12x = -8x -18 + -8x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -8x = 3 + 0 -18 + -8x = 3 Add '18' to each side of the equation. -18 + 18 + -8x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = 3 + 18 -8x = 3 + 18 Combine like terms: 3 + 18 = 21 -8x = 21 Divide each side by '-8'. x = -2.625 Simplifying x = -2.625
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