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Simplifying 4[5x + -2] = 2[9x + 3] Reorder the terms: 4[-2 + 5x] = 2[9x + 3] [-2 * 4 + 5x * 4] = 2[9x + 3] [-8 + 20x] = 2[9x + 3] Reorder the terms: -8 + 20x = 2[3 + 9x] -8 + 20x = [3 * 2 + 9x * 2] -8 + 20x = [6 + 18x] Solving -8 + 20x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -8 + 20x + -18x = 6 + 18x + -18x Combine like terms: 20x + -18x = 2x -8 + 2x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 + 2x = 6 + 0 -8 + 2x = 6 Add '8' to each side of the equation. -8 + 8 + 2x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 6 + 8 2x = 6 + 8 Combine like terms: 6 + 8 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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