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Simplifying 9 + -5[x + 2(3 + -4x)] + 14 = 12 9 + -5[x + (3 * 2 + -4x * 2)] + 14 = 12 9 + -5[x + (6 + -8x)] + 14 = 12 Reorder the terms: 9 + -5[6 + x + -8x] + 14 = 12 Combine like terms: x + -8x = -7x 9 + -5[6 + -7x] + 14 = 12 9 + [6 * -5 + -7x * -5] + 14 = 12 9 + [-30 + 35x] + 14 = 12 Reorder the terms: 9 + -30 + 14 + 35x = 12 Combine like terms: 9 + -30 = -21 -21 + 14 + 35x = 12 Combine like terms: -21 + 14 = -7 -7 + 35x = 12 Solving -7 + 35x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 35x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 35x = 12 + 7 35x = 12 + 7 Combine like terms: 12 + 7 = 19 35x = 19 Divide each side by '35'. x = 0.5428571429 Simplifying x = 0.5428571429
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