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Simplifying 4[10 + -5(x + -2)] = 2(x + 1) Reorder the terms: 4[10 + -5(-2 + x)] = 2(x + 1) 4[10 + (-2 * -5 + x * -5)] = 2(x + 1) 4[10 + (10 + -5x)] = 2(x + 1) Combine like terms: 10 + 10 = 20 4[20 + -5x] = 2(x + 1) [20 * 4 + -5x * 4] = 2(x + 1) [80 + -20x] = 2(x + 1) Reorder the terms: 80 + -20x = 2(1 + x) 80 + -20x = (1 * 2 + x * 2) 80 + -20x = (2 + 2x) Solving 80 + -20x = 2 + 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 = 2 + 2x + -2x Combine like terms: -20x + -2x = -22x 80 + -22x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 80 + -22x = 2 + 0 80 + -22x = 2 Add '-80' to each side of the equation. 80 + -80 + -22x = 2 + -80 Combine like terms: 80 + -80 = 0 0 + -22x = 2 + -80 -22x = 2 + -80 Combine like terms: 2 + -80 = -78 -22x = -78 Divide each side by '-22'. x = 3.545454545 Simplifying x = 3.545454545
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