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Simplifying 2(3x + -2) = 4(x + 5) Reorder the terms: 2(-2 + 3x) = 4(x + 5) (-2 * 2 + 3x * 2) = 4(x + 5) (-4 + 6x) = 4(x + 5) Reorder the terms: -4 + 6x = 4(5 + x) -4 + 6x = (5 * 4 + x * 4) -4 + 6x = (20 + 4x) Solving -4 + 6x = 20 + 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. -4 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x -4 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 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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