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Simplifying 2(2x + -9) = 3x + -4 Reorder the terms: 2(-9 + 2x) = 3x + -4 (-9 * 2 + 2x * 2) = 3x + -4 (-18 + 4x) = 3x + -4 Reorder the terms: -18 + 4x = -4 + 3x Solving -18 + 4x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 4x + -3x = -4 + 3x + -3x Combine like terms: 4x + -3x = 1x -18 + 1x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 1x = -4 + 0 -18 + 1x = -4 Add '18' to each side of the equation. -18 + 18 + 1x = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -4 + 18 1x = -4 + 18 Combine like terms: -4 + 18 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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