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Simplifying 7756 = x + -1((x + -6000) * 0.25) Reorder the terms: 7756 = x + -1((-6000 + x) * 0.25) Reorder the terms for easier multiplication: 7756 = x + -1(0.25(-6000 + x)) 7756 = x + -1((-6000 * 0.25 + x * 0.25)) 7756 = x + -1((-1500 + 0.25x)) 7756 = x + (-1500 * -1 + 0.25x * -1) 7756 = x + (1500 + -0.25x) Reorder the terms: 7756 = 1500 + x + -0.25x Combine like terms: x + -0.25x = 0.75x 7756 = 1500 + 0.75x Solving 7756 = 1500 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 7756 + -0.75x = 1500 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 7756 + -0.75x = 1500 + 0.00 7756 + -0.75x = 1500 Add '-7756' to each side of the equation. 7756 + -7756 + -0.75x = 1500 + -7756 Combine like terms: 7756 + -7756 = 0 0 + -0.75x = 1500 + -7756 -0.75x = 1500 + -7756 Combine like terms: 1500 + -7756 = -6256 -0.75x = -6256 Divide each side by '-0.75'. x = 8341.333333 Simplifying x = 8341.333333
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