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Simplifying 2x + 2(x + 75) = 470 Reorder the terms: 2x + 2(75 + x) = 470 2x + (75 * 2 + x * 2) = 470 2x + (150 + 2x) = 470 Reorder the terms: 150 + 2x + 2x = 470 Combine like terms: 2x + 2x = 4x 150 + 4x = 470 Solving 150 + 4x = 470 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 4x = 470 + -150 Combine like terms: 150 + -150 = 0 0 + 4x = 470 + -150 4x = 470 + -150 Combine like terms: 470 + -150 = 320 4x = 320 Divide each side by '4'. x = 80 Simplifying x = 80
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