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Simplifying -5[12x + -4] = 5[5x + 2] Reorder the terms: -5[-4 + 12x] = 5[5x + 2] [-4 * -5 + 12x * -5] = 5[5x + 2] [20 + -60x] = 5[5x + 2] Reorder the terms: 20 + -60x = 5[2 + 5x] 20 + -60x = [2 * 5 + 5x * 5] 20 + -60x = [10 + 25x] Solving 20 + -60x = 10 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 20 + -60x + -25x = 10 + 25x + -25x Combine like terms: -60x + -25x = -85x 20 + -85x = 10 + 25x + -25x Combine like terms: 25x + -25x = 0 20 + -85x = 10 + 0 20 + -85x = 10 Add '-20' to each side of the equation. 20 + -20 + -85x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -85x = 10 + -20 -85x = 10 + -20 Combine like terms: 10 + -20 = -10 -85x = -10 Divide each side by '-85'. x = 0.1176470588 Simplifying x = 0.1176470588
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