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Simplifying 4[4 + -1(-7x + -6)] = 84x + 88 Reorder the terms: 4[4 + -1(-6 + -7x)] = 84x + 88 4[4 + (-6 * -1 + -7x * -1)] = 84x + 88 4[4 + (6 + 7x)] = 84x + 88 Combine like terms: 4 + 6 = 10 4[10 + 7x] = 84x + 88 [10 * 4 + 7x * 4] = 84x + 88 [40 + 28x] = 84x + 88 Reorder the terms: 40 + 28x = 88 + 84x Solving 40 + 28x = 88 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 40 + 28x + -84x = 88 + 84x + -84x Combine like terms: 28x + -84x = -56x 40 + -56x = 88 + 84x + -84x Combine like terms: 84x + -84x = 0 40 + -56x = 88 + 0 40 + -56x = 88 Add '-40' to each side of the equation. 40 + -40 + -56x = 88 + -40 Combine like terms: 40 + -40 = 0 0 + -56x = 88 + -40 -56x = 88 + -40 Combine like terms: 88 + -40 = 48 -56x = 48 Divide each side by '-56'. x = -0.8571428571 Simplifying x = -0.8571428571
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