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Simplifying 7[1 + -1(-8x + -9)] = 224x + 259 Reorder the terms: 7[1 + -1(-9 + -8x)] = 224x + 259 7[1 + (-9 * -1 + -8x * -1)] = 224x + 259 7[1 + (9 + 8x)] = 224x + 259 Combine like terms: 1 + 9 = 10 7[10 + 8x] = 224x + 259 [10 * 7 + 8x * 7] = 224x + 259 [70 + 56x] = 224x + 259 Reorder the terms: 70 + 56x = 259 + 224x Solving 70 + 56x = 259 + 224x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-224x' to each side of the equation. 70 + 56x + -224x = 259 + 224x + -224x Combine like terms: 56x + -224x = -168x 70 + -168x = 259 + 224x + -224x Combine like terms: 224x + -224x = 0 70 + -168x = 259 + 0 70 + -168x = 259 Add '-70' to each side of the equation. 70 + -70 + -168x = 259 + -70 Combine like terms: 70 + -70 = 0 0 + -168x = 259 + -70 -168x = 259 + -70 Combine like terms: 259 + -70 = 189 -168x = 189 Divide each side by '-168'. x = -1.125 Simplifying x = -1.125
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