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Simplifying 4[9 + -1(-5x + -8)] = 40x + 100 Reorder the terms: 4[9 + -1(-8 + -5x)] = 40x + 100 4[9 + (-8 * -1 + -5x * -1)] = 40x + 100 4[9 + (8 + 5x)] = 40x + 100 Combine like terms: 9 + 8 = 17 4[17 + 5x] = 40x + 100 [17 * 4 + 5x * 4] = 40x + 100 [68 + 20x] = 40x + 100 Reorder the terms: 68 + 20x = 100 + 40x Solving 68 + 20x = 100 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 68 + 20x + -40x = 100 + 40x + -40x Combine like terms: 20x + -40x = -20x 68 + -20x = 100 + 40x + -40x Combine like terms: 40x + -40x = 0 68 + -20x = 100 + 0 68 + -20x = 100 Add '-68' to each side of the equation. 68 + -68 + -20x = 100 + -68 Combine like terms: 68 + -68 = 0 0 + -20x = 100 + -68 -20x = 100 + -68 Combine like terms: 100 + -68 = 32 -20x = 32 Divide each side by '-20'. x = -1.6 Simplifying x = -1.6
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