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Simplifying 4[9 + -1(-7x + -8)] = 56x + 100 Reorder the terms: 4[9 + -1(-8 + -7x)] = 56x + 100 4[9 + (-8 * -1 + -7x * -1)] = 56x + 100 4[9 + (8 + 7x)] = 56x + 100 Combine like terms: 9 + 8 = 17 4[17 + 7x] = 56x + 100 [17 * 4 + 7x * 4] = 56x + 100 [68 + 28x] = 56x + 100 Reorder the terms: 68 + 28x = 100 + 56x Solving 68 + 28x = 100 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 68 + 28x + -56x = 100 + 56x + -56x Combine like terms: 28x + -56x = -28x 68 + -28x = 100 + 56x + -56x Combine like terms: 56x + -56x = 0 68 + -28x = 100 + 0 68 + -28x = 100 Add '-68' to each side of the equation. 68 + -68 + -28x = 100 + -68 Combine like terms: 68 + -68 = 0 0 + -28x = 100 + -68 -28x = 100 + -68 Combine like terms: 100 + -68 = 32 -28x = 32 Divide each side by '-28'. x = -1.142857143 Simplifying x = -1.142857143
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