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Simplifying -4(x + 3) + 174 = 32 + 22 Reorder the terms: -4(3 + x) + 174 = 32 + 22 (3 * -4 + x * -4) + 174 = 32 + 22 (-12 + -4x) + 174 = 32 + 22 Reorder the terms: -12 + 174 + -4x = 32 + 22 Combine like terms: -12 + 174 = 162 162 + -4x = 32 + 22 Combine like terms: 32 + 22 = 54 162 + -4x = 54 Solving 162 + -4x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-162' to each side of the equation. 162 + -162 + -4x = 54 + -162 Combine like terms: 162 + -162 = 0 0 + -4x = 54 + -162 -4x = 54 + -162 Combine like terms: 54 + -162 = -108 -4x = -108 Divide each side by '-4'. x = 27 Simplifying x = 27
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