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Simplifying 41x + 599x + -87 = 41(40x + 61) Reorder the terms: -87 + 41x + 599x = 41(40x + 61) Combine like terms: 41x + 599x = 640x -87 + 640x = 41(40x + 61) Reorder the terms: -87 + 640x = 41(61 + 40x) -87 + 640x = (61 * 41 + 40x * 41) -87 + 640x = (2501 + 1640x) Solving -87 + 640x = 2501 + 1640x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1640x' to each side of the equation. -87 + 640x + -1640x = 2501 + 1640x + -1640x Combine like terms: 640x + -1640x = -1000x -87 + -1000x = 2501 + 1640x + -1640x Combine like terms: 1640x + -1640x = 0 -87 + -1000x = 2501 + 0 -87 + -1000x = 2501 Add '87' to each side of the equation. -87 + 87 + -1000x = 2501 + 87 Combine like terms: -87 + 87 = 0 0 + -1000x = 2501 + 87 -1000x = 2501 + 87 Combine like terms: 2501 + 87 = 2588 -1000x = 2588 Divide each side by '-1000'. x = -2.588 Simplifying x = -2.588
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