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Simplifying 45 = -2x + 7(4x + 25) Reorder the terms: 45 = -2x + 7(25 + 4x) 45 = -2x + (25 * 7 + 4x * 7) 45 = -2x + (175 + 28x) Reorder the terms: 45 = 175 + -2x + 28x Combine like terms: -2x + 28x = 26x 45 = 175 + 26x Solving 45 = 175 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 45 + -26x = 175 + 26x + -26x Combine like terms: 26x + -26x = 0 45 + -26x = 175 + 0 45 + -26x = 175 Add '-45' to each side of the equation. 45 + -45 + -26x = 175 + -45 Combine like terms: 45 + -45 = 0 0 + -26x = 175 + -45 -26x = 175 + -45 Combine like terms: 175 + -45 = 130 -26x = 130 Divide each side by '-26'. x = -5 Simplifying x = -5
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