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Simplifying 2x + 2(35 + x) = 1670 2x + (35 * 2 + x * 2) = 1670 2x + (70 + 2x) = 1670 Reorder the terms: 70 + 2x + 2x = 1670 Combine like terms: 2x + 2x = 4x 70 + 4x = 1670 Solving 70 + 4x = 1670 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 4x = 1670 + -70 Combine like terms: 70 + -70 = 0 0 + 4x = 1670 + -70 4x = 1670 + -70 Combine like terms: 1670 + -70 = 1600 4x = 1600 Divide each side by '4'. x = 400 Simplifying x = 400
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