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Simplifying 4(5x + 1) + 2x = 114 Reorder the terms: 4(1 + 5x) + 2x = 114 (1 * 4 + 5x * 4) + 2x = 114 (4 + 20x) + 2x = 114 Combine like terms: 20x + 2x = 22x 4 + 22x = 114 Solving 4 + 22x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 22x = 114 + -4 Combine like terms: 4 + -4 = 0 0 + 22x = 114 + -4 22x = 114 + -4 Combine like terms: 114 + -4 = 110 22x = 110 Divide each side by '22'. x = 5 Simplifying x = 5
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