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Simplifying 5182 = (x + -1(6000 * 0.18)) + -1((x + -6000) * 0.25) Multiply 6000 * 0.18 5182 = (x + -1(1080)) + -1((x + -6000) * 0.25) Multiply -1 * 1080 5182 = (x + -1080) + -1((x + -6000) * 0.25) Reorder the terms: 5182 = (-1080 + x) + -1((x + -6000) * 0.25) Remove parenthesis around (-1080 + x) 5182 = -1080 + x + -1((x + -6000) * 0.25) Reorder the terms: 5182 = -1080 + x + -1((-6000 + x) * 0.25) Reorder the terms for easier multiplication: 5182 = -1080 + x + -1(0.25(-6000 + x)) 5182 = -1080 + x + -1((-6000 * 0.25 + x * 0.25)) 5182 = -1080 + x + -1((-1500 + 0.25x)) 5182 = -1080 + x + (-1500 * -1 + 0.25x * -1) 5182 = -1080 + x + (1500 + -0.25x) Reorder the terms: 5182 = -1080 + 1500 + x + -0.25x Combine like terms: -1080 + 1500 = 420 5182 = 420 + x + -0.25x Combine like terms: x + -0.25x = 0.75x 5182 = 420 + 0.75x Solving 5182 = 420 + 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. 5182 + -0.75x = 420 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 5182 + -0.75x = 420 + 0.00 5182 + -0.75x = 420 Add '-5182' to each side of the equation. 5182 + -5182 + -0.75x = 420 + -5182 Combine like terms: 5182 + -5182 = 0 0 + -0.75x = 420 + -5182 -0.75x = 420 + -5182 Combine like terms: 420 + -5182 = -4762 -0.75x = -4762 Divide each side by '-0.75'. x = 6349.333333 Simplifying x = 6349.333333
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