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Simplifying 1 = 7(-2x + 5) Reorder the terms: 1 = 7(5 + -2x) 1 = (5 * 7 + -2x * 7) 1 = (35 + -14x) Solving 1 = 35 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 1 + 14x = 35 + -14x + 14x Combine like terms: -14x + 14x = 0 1 + 14x = 35 + 0 1 + 14x = 35 Add '-1' to each side of the equation. 1 + -1 + 14x = 35 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 35 + -1 14x = 35 + -1 Combine like terms: 35 + -1 = 34 14x = 34 Divide each side by '14'. x = 2.428571429 Simplifying x = 2.428571429
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