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Simplifying 8[7 + -1(-5x + -4)] = 200x + 216 Reorder the terms: 8[7 + -1(-4 + -5x)] = 200x + 216 8[7 + (-4 * -1 + -5x * -1)] = 200x + 216 8[7 + (4 + 5x)] = 200x + 216 Combine like terms: 7 + 4 = 11 8[11 + 5x] = 200x + 216 [11 * 8 + 5x * 8] = 200x + 216 [88 + 40x] = 200x + 216 Reorder the terms: 88 + 40x = 216 + 200x Solving 88 + 40x = 216 + 200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200x' to each side of the equation. 88 + 40x + -200x = 216 + 200x + -200x Combine like terms: 40x + -200x = -160x 88 + -160x = 216 + 200x + -200x Combine like terms: 200x + -200x = 0 88 + -160x = 216 + 0 88 + -160x = 216 Add '-88' to each side of the equation. 88 + -88 + -160x = 216 + -88 Combine like terms: 88 + -88 = 0 0 + -160x = 216 + -88 -160x = 216 + -88 Combine like terms: 216 + -88 = 128 -160x = 128 Divide each side by '-160'. x = -0.8 Simplifying x = -0.8
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