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Simplifying 2 + 4(3x + -4) = 20x + -30 Reorder the terms: 2 + 4(-4 + 3x) = 20x + -30 2 + (-4 * 4 + 3x * 4) = 20x + -30 2 + (-16 + 12x) = 20x + -30 Combine like terms: 2 + -16 = -14 -14 + 12x = 20x + -30 Reorder the terms: -14 + 12x = -30 + 20x Solving -14 + 12x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -14 + 12x + -20x = -30 + 20x + -20x Combine like terms: 12x + -20x = -8x -14 + -8x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 -14 + -8x = -30 + 0 -14 + -8x = -30 Add '14' to each side of the equation. -14 + 14 + -8x = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = -30 + 14 -8x = -30 + 14 Combine like terms: -30 + 14 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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