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Simplifying 7[5 + -1(-2x + -3)] = 28x + 77 Reorder the terms: 7[5 + -1(-3 + -2x)] = 28x + 77 7[5 + (-3 * -1 + -2x * -1)] = 28x + 77 7[5 + (3 + 2x)] = 28x + 77 Combine like terms: 5 + 3 = 8 7[8 + 2x] = 28x + 77 [8 * 7 + 2x * 7] = 28x + 77 [56 + 14x] = 28x + 77 Reorder the terms: 56 + 14x = 77 + 28x Solving 56 + 14x = 77 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 56 + 14x + -28x = 77 + 28x + -28x Combine like terms: 14x + -28x = -14x 56 + -14x = 77 + 28x + -28x Combine like terms: 28x + -28x = 0 56 + -14x = 77 + 0 56 + -14x = 77 Add '-56' to each side of the equation. 56 + -56 + -14x = 77 + -56 Combine like terms: 56 + -56 = 0 0 + -14x = 77 + -56 -14x = 77 + -56 Combine like terms: 77 + -56 = 21 -14x = 21 Divide each side by '-14'. x = -1.5 Simplifying x = -1.5
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