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Simplifying (((((2x + -100) * 2) + -100) * 2) + -100) * 2 + -100 = 0 Reorder the terms: (((((-100 + 2x) * 2) + -100) * 2) + -100) * 2 + -100 = 0 Reorder the terms for easier multiplication: ((((2(-100 + 2x)) + -100) * 2) + -100) * 2 + -100 = 0 (((((-100 * 2 + 2x * 2)) + -100) * 2) + -100) * 2 + -100 = 0 (((((-200 + 4x)) + -100) * 2) + -100) * 2 + -100 = 0 ((((-200 + 4x) + -100) * 2) + -100) * 2 + -100 = 0 Remove parenthesis around (-200 + 4x) (((-200 + 4x + -100) * 2) + -100) * 2 + -100 = 0 Reorder the terms: (((-200 + -100 + 4x) * 2) + -100) * 2 + -100 = 0 Combine like terms: -200 + -100 = -300 (((-300 + 4x) * 2) + -100) * 2 + -100 = 0 Reorder the terms for easier multiplication: ((2(-300 + 4x)) + -100) * 2 + -100 = 0 (((-300 * 2 + 4x * 2)) + -100) * 2 + -100 = 0 (((-600 + 8x)) + -100) * 2 + -100 = 0 ((-600 + 8x) + -100) * 2 + -100 = 0 Remove parenthesis around (-600 + 8x) (-600 + 8x + -100) * 2 + -100 = 0 Reorder the terms: (-600 + -100 + 8x) * 2 + -100 = 0 Combine like terms: -600 + -100 = -700 (-700 + 8x) * 2 + -100 = 0 Reorder the terms for easier multiplication: 2(-700 + 8x) + -100 = 0 (-700 * 2 + 8x * 2) + -100 = 0 (-1400 + 16x) + -100 = 0 Reorder the terms: -1400 + -100 + 16x = 0 Combine like terms: -1400 + -100 = -1500 -1500 + 16x = 0 Solving -1500 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1500' to each side of the equation. -1500 + 1500 + 16x = 0 + 1500 Combine like terms: -1500 + 1500 = 0 0 + 16x = 0 + 1500 16x = 0 + 1500 Combine like terms: 0 + 1500 = 1500 16x = 1500 Divide each side by '16'. x = 93.75 Simplifying x = 93.75
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