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Simplifying 174 = 5(7 + 4x) + -1 174 = (7 * 5 + 4x * 5) + -1 174 = (35 + 20x) + -1 Reorder the terms: 174 = 35 + -1 + 20x Combine like terms: 35 + -1 = 34 174 = 34 + 20x Solving 174 = 34 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 174 + -20x = 34 + 20x + -20x Combine like terms: 20x + -20x = 0 174 + -20x = 34 + 0 174 + -20x = 34 Add '-174' to each side of the equation. 174 + -174 + -20x = 34 + -174 Combine like terms: 174 + -174 = 0 0 + -20x = 34 + -174 -20x = 34 + -174 Combine like terms: 34 + -174 = -140 -20x = -140 Divide each side by '-20'. x = 7 Simplifying x = 7
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