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Simplifying 2(3x + 2) = 4(2x + -5) Reorder the terms: 2(2 + 3x) = 4(2x + -5) (2 * 2 + 3x * 2) = 4(2x + -5) (4 + 6x) = 4(2x + -5) Reorder the terms: 4 + 6x = 4(-5 + 2x) 4 + 6x = (-5 * 4 + 2x * 4) 4 + 6x = (-20 + 8x) Solving 4 + 6x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 6x + -8x = -20 + 8x + -8x Combine like terms: 6x + -8x = -2x 4 + -2x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -2x = -20 + 0 4 + -2x = -20 Add '-4' to each side of the equation. 4 + -4 + -2x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -20 + -4 -2x = -20 + -4 Combine like terms: -20 + -4 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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