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Simplifying ((((2x + -2000) * 2) + -2000) * 2) + -2000 = 5000 Reorder the terms: ((((-2000 + 2x) * 2) + -2000) * 2) + -2000 = 5000 Reorder the terms for easier multiplication: (((2(-2000 + 2x)) + -2000) * 2) + -2000 = 5000 ((((-2000 * 2 + 2x * 2)) + -2000) * 2) + -2000 = 5000 ((((-4000 + 4x)) + -2000) * 2) + -2000 = 5000 (((-4000 + 4x) + -2000) * 2) + -2000 = 5000 Remove parenthesis around (-4000 + 4x) ((-4000 + 4x + -2000) * 2) + -2000 = 5000 Reorder the terms: ((-4000 + -2000 + 4x) * 2) + -2000 = 5000 Combine like terms: -4000 + -2000 = -6000 ((-6000 + 4x) * 2) + -2000 = 5000 Reorder the terms for easier multiplication: (2(-6000 + 4x)) + -2000 = 5000 ((-6000 * 2 + 4x * 2)) + -2000 = 5000 ((-12000 + 8x)) + -2000 = 5000 (-12000 + 8x) + -2000 = 5000 Remove parenthesis around (-12000 + 8x) -12000 + 8x + -2000 = 5000 Reorder the terms: -12000 + -2000 + 8x = 5000 Combine like terms: -12000 + -2000 = -14000 -14000 + 8x = 5000 Solving -14000 + 8x = 5000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14000' to each side of the equation. -14000 + 14000 + 8x = 5000 + 14000 Combine like terms: -14000 + 14000 = 0 0 + 8x = 5000 + 14000 8x = 5000 + 14000 Combine like terms: 5000 + 14000 = 19000 8x = 19000 Divide each side by '8'. x = 2375 Simplifying x = 2375
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