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Simplifying X + 2x(x + 50) + (x + 20) = 360 Reorder the terms: X + 2x(50 + x) + (x + 20) = 360 X + (50 * 2x + x * 2x) + (x + 20) = 360 X + (100x + 2x2) + (x + 20) = 360 Reorder the terms: X + 100x + 2x2 + (20 + x) = 360 Remove parenthesis around (20 + x) X + 100x + 2x2 + 20 + x = 360 Reorder the terms: 20 + X + 100x + x + 2x2 = 360 Combine like terms: 100x + x = 101x 20 + X + 101x + 2x2 = 360 Solving 20 + X + 101x + 2x2 = 360 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + X + 101x + -20 + 2x2 = 360 + -20 Reorder the terms: 20 + -20 + X + 101x + 2x2 = 360 + -20 Combine like terms: 20 + -20 = 0 0 + X + 101x + 2x2 = 360 + -20 X + 101x + 2x2 = 360 + -20 Combine like terms: 360 + -20 = 340 X + 101x + 2x2 = 340 Add '-101x' to each side of the equation. X + 101x + -101x + 2x2 = 340 + -101x Combine like terms: 101x + -101x = 0 X + 0 + 2x2 = 340 + -101x X + 2x2 = 340 + -101x Add '-2x2' to each side of the equation. X + 2x2 + -2x2 = 340 + -101x + -2x2 Combine like terms: 2x2 + -2x2 = 0 X + 0 = 340 + -101x + -2x2 X = 340 + -101x + -2x2 Simplifying X = 340 + -101x + -2x2
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