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Simplifying -1000 + 877 + -59.68 + [x + -0.2(x + -1000)] * 0.75 = 0 Reorder the terms: -1000 + 877 + -59.68 + [x + -0.2(-1000 + x)] * 0.75 = 0 -1000 + 877 + -59.68 + [x + (-1000 * -0.2 + x * -0.2)] * 0.75 = 0 -1000 + 877 + -59.68 + [x + (200 + -0.2x)] * 0.75 = 0 Reorder the terms: -1000 + 877 + -59.68 + [200 + x + -0.2x] * 0.75 = 0 Combine like terms: x + -0.2x = 0.8x -1000 + 877 + -59.68 + [200 + 0.8x] * 0.75 = 0 Reorder the terms for easier multiplication: -1000 + 877 + -59.68 + 0.75[200 + 0.8x] = 0 -1000 + 877 + -59.68 + [200 * 0.75 + 0.8x * 0.75] = 0 -1000 + 877 + -59.68 + [150 + 0.6x] = 0 Combine like terms: -1000 + 877 = -123 -123 + -59.68 + 150 + 0.6x = 0 Combine like terms: -123 + -59.68 = -182.68 -182.68 + 150 + 0.6x = 0 Combine like terms: -182.68 + 150 = -32.68 -32.68 + 0.6x = 0 Solving -32.68 + 0.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32.68' to each side of the equation. -32.68 + 32.68 + 0.6x = 0 + 32.68 Combine like terms: -32.68 + 32.68 = 0.00 0.00 + 0.6x = 0 + 32.68 0.6x = 0 + 32.68 Combine like terms: 0 + 32.68 = 32.68 0.6x = 32.68 Divide each side by '0.6'. x = 54.46666667 Simplifying x = 54.46666667
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