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Simplifying 174 = 3x + 5(-5x + -18) Reorder the terms: 174 = 3x + 5(-18 + -5x) 174 = 3x + (-18 * 5 + -5x * 5) 174 = 3x + (-90 + -25x) Reorder the terms: 174 = -90 + 3x + -25x Combine like terms: 3x + -25x = -22x 174 = -90 + -22x Solving 174 = -90 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 174 + 22x = -90 + -22x + 22x Combine like terms: -22x + 22x = 0 174 + 22x = -90 + 0 174 + 22x = -90 Add '-174' to each side of the equation. 174 + -174 + 22x = -90 + -174 Combine like terms: 174 + -174 = 0 0 + 22x = -90 + -174 22x = -90 + -174 Combine like terms: -90 + -174 = -264 22x = -264 Divide each side by '22'. x = -12 Simplifying x = -12
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