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Simplifying 4x + 12(10 + x) = 168 + 4x 4x + (10 * 12 + x * 12) = 168 + 4x 4x + (120 + 12x) = 168 + 4x Reorder the terms: 120 + 4x + 12x = 168 + 4x Combine like terms: 4x + 12x = 16x 120 + 16x = 168 + 4x Solving 120 + 16x = 168 + 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. 120 + 16x + -4x = 168 + 4x + -4x Combine like terms: 16x + -4x = 12x 120 + 12x = 168 + 4x + -4x Combine like terms: 4x + -4x = 0 120 + 12x = 168 + 0 120 + 12x = 168 Add '-120' to each side of the equation. 120 + -120 + 12x = 168 + -120 Combine like terms: 120 + -120 = 0 0 + 12x = 168 + -120 12x = 168 + -120 Combine like terms: 168 + -120 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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