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Simplifying 2[3x + 4] = 4[5x + -2] Reorder the terms: 2[4 + 3x] = 4[5x + -2] [4 * 2 + 3x * 2] = 4[5x + -2] [8 + 6x] = 4[5x + -2] Reorder the terms: 8 + 6x = 4[-2 + 5x] 8 + 6x = [-2 * 4 + 5x * 4] 8 + 6x = [-8 + 20x] Solving 8 + 6x = -8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 8 + 6x + -20x = -8 + 20x + -20x Combine like terms: 6x + -20x = -14x 8 + -14x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 8 + -14x = -8 + 0 8 + -14x = -8 Add '-8' to each side of the equation. 8 + -8 + -14x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = -8 + -8 -14x = -8 + -8 Combine like terms: -8 + -8 = -16 -14x = -16 Divide each side by '-14'. x = 1.142857143 Simplifying x = 1.142857143
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