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Simplifying 4[3 + 5(3 + -1x) + 2] = 6 + -2x 4[3 + (3 * 5 + -1x * 5) + 2] = 6 + -2x 4[3 + (15 + -5x) + 2] = 6 + -2x Reorder the terms: 4[3 + 15 + 2 + -5x] = 6 + -2x Combine like terms: 3 + 15 = 18 4[18 + 2 + -5x] = 6 + -2x Combine like terms: 18 + 2 = 20 4[20 + -5x] = 6 + -2x [20 * 4 + -5x * 4] = 6 + -2x [80 + -20x] = 6 + -2x Solving 80 + -20x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 80 + -20x + 2x = 6 + -2x + 2x Combine like terms: -20x + 2x = -18x 80 + -18x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 80 + -18x = 6 + 0 80 + -18x = 6 Add '-80' to each side of the equation. 80 + -80 + -18x = 6 + -80 Combine like terms: 80 + -80 = 0 0 + -18x = 6 + -80 -18x = 6 + -80 Combine like terms: 6 + -80 = -74 -18x = -74 Divide each side by '-18'. x = 4.111111111 Simplifying x = 4.111111111
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