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Simplifying 7[5 + -1(-2x + -5)] = 28x + 105 Reorder the terms: 7[5 + -1(-5 + -2x)] = 28x + 105 7[5 + (-5 * -1 + -2x * -1)] = 28x + 105 7[5 + (5 + 2x)] = 28x + 105 Combine like terms: 5 + 5 = 10 7[10 + 2x] = 28x + 105 [10 * 7 + 2x * 7] = 28x + 105 [70 + 14x] = 28x + 105 Reorder the terms: 70 + 14x = 105 + 28x Solving 70 + 14x = 105 + 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. 70 + 14x + -28x = 105 + 28x + -28x Combine like terms: 14x + -28x = -14x 70 + -14x = 105 + 28x + -28x Combine like terms: 28x + -28x = 0 70 + -14x = 105 + 0 70 + -14x = 105 Add '-70' to each side of the equation. 70 + -70 + -14x = 105 + -70 Combine like terms: 70 + -70 = 0 0 + -14x = 105 + -70 -14x = 105 + -70 Combine like terms: 105 + -70 = 35 -14x = 35 Divide each side by '-14'. x = -2.5 Simplifying x = -2.5
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