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Simplifying 174 = 4x + 3(6x + -8) Reorder the terms: 174 = 4x + 3(-8 + 6x) 174 = 4x + (-8 * 3 + 6x * 3) 174 = 4x + (-24 + 18x) Reorder the terms: 174 = -24 + 4x + 18x Combine like terms: 4x + 18x = 22x 174 = -24 + 22x Solving 174 = -24 + 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 = -24 + 22x + -22x Combine like terms: 22x + -22x = 0 174 + -22x = -24 + 0 174 + -22x = -24 Add '-174' to each side of the equation. 174 + -174 + -22x = -24 + -174 Combine like terms: 174 + -174 = 0 0 + -22x = -24 + -174 -22x = -24 + -174 Combine like terms: -24 + -174 = -198 -22x = -198 Divide each side by '-22'. x = 9 Simplifying x = 9
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