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Simplifying x + (x + 20) + 2(x + 20) + 2(x + 20) + 10 = 1700 Reorder the terms: x + (20 + x) + 2(x + 20) + 2(x + 20) + 10 = 1700 Remove parenthesis around (20 + x) x + 20 + x + 2(x + 20) + 2(x + 20) + 10 = 1700 Reorder the terms: x + 20 + x + 2(20 + x) + 2(x + 20) + 10 = 1700 x + 20 + x + (20 * 2 + x * 2) + 2(x + 20) + 10 = 1700 x + 20 + x + (40 + 2x) + 2(x + 20) + 10 = 1700 Reorder the terms: x + 20 + x + 40 + 2x + 2(20 + x) + 10 = 1700 x + 20 + x + 40 + 2x + (20 * 2 + x * 2) + 10 = 1700 x + 20 + x + 40 + 2x + (40 + 2x) + 10 = 1700 Reorder the terms: 20 + 40 + 40 + 10 + x + x + 2x + 2x = 1700 Combine like terms: 20 + 40 = 60 60 + 40 + 10 + x + x + 2x + 2x = 1700 Combine like terms: 60 + 40 = 100 100 + 10 + x + x + 2x + 2x = 1700 Combine like terms: 100 + 10 = 110 110 + x + x + 2x + 2x = 1700 Combine like terms: x + x = 2x 110 + 2x + 2x + 2x = 1700 Combine like terms: 2x + 2x = 4x 110 + 4x + 2x = 1700 Combine like terms: 4x + 2x = 6x 110 + 6x = 1700 Solving 110 + 6x = 1700 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + 6x = 1700 + -110 Combine like terms: 110 + -110 = 0 0 + 6x = 1700 + -110 6x = 1700 + -110 Combine like terms: 1700 + -110 = 1590 6x = 1590 Divide each side by '6'. x = 265 Simplifying x = 265
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