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Simplifying 2[3x + 4(x + 5)] + -4x = 12 Reorder the terms: 2[3x + 4(5 + x)] + -4x = 12 2[3x + (5 * 4 + x * 4)] + -4x = 12 2[3x + (20 + 4x)] + -4x = 12 Reorder the terms: 2[20 + 3x + 4x] + -4x = 12 Combine like terms: 3x + 4x = 7x 2[20 + 7x] + -4x = 12 [20 * 2 + 7x * 2] + -4x = 12 [40 + 14x] + -4x = 12 Combine like terms: 14x + -4x = 10x 40 + 10x = 12 Solving 40 + 10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 10x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = 12 + -40 10x = 12 + -40 Combine like terms: 12 + -40 = -28 10x = -28 Divide each side by '10'. x = -2.8 Simplifying x = -2.8
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