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Simplifying 174 = 2(15 + x) + 2x 174 = (15 * 2 + x * 2) + 2x 174 = (30 + 2x) + 2x Combine like terms: 2x + 2x = 4x 174 = 30 + 4x Solving 174 = 30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 174 + -4x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 174 + -4x = 30 + 0 174 + -4x = 30 Add '-174' to each side of the equation. 174 + -174 + -4x = 30 + -174 Combine like terms: 174 + -174 = 0 0 + -4x = 30 + -174 -4x = 30 + -174 Combine like terms: 30 + -174 = -144 -4x = -144 Divide each side by '-4'. x = 36 Simplifying x = 36
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