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Simplifying 2[3x + 4(4x + -5)] + -4x = 12 Reorder the terms: 2[3x + 4(-5 + 4x)] + -4x = 12 2[3x + (-5 * 4 + 4x * 4)] + -4x = 12 2[3x + (-20 + 16x)] + -4x = 12 Reorder the terms: 2[-20 + 3x + 16x] + -4x = 12 Combine like terms: 3x + 16x = 19x 2[-20 + 19x] + -4x = 12 [-20 * 2 + 19x * 2] + -4x = 12 [-40 + 38x] + -4x = 12 Combine like terms: 38x + -4x = 34x -40 + 34x = 12 Solving -40 + 34x = 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 + 34x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 34x = 12 + 40 34x = 12 + 40 Combine like terms: 12 + 40 = 52 34x = 52 Divide each side by '34'. x = 1.529411765 Simplifying x = 1.529411765
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