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Simplifying 3x + -9(5 + -7x) = 9x + -25(4 + -6) 3x + (5 * -9 + -7x * -9) = 9x + -25(4 + -6) 3x + (-45 + 63x) = 9x + -25(4 + -6) Reorder the terms: -45 + 3x + 63x = 9x + -25(4 + -6) Combine like terms: 3x + 63x = 66x -45 + 66x = 9x + -25(4 + -6) Combine like terms: 4 + -6 = -2 -45 + 66x = 9x + -25(-2) Multiply -25 * -2 -45 + 66x = 9x + 50 Reorder the terms: -45 + 66x = 50 + 9x Solving -45 + 66x = 50 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -45 + 66x + -9x = 50 + 9x + -9x Combine like terms: 66x + -9x = 57x -45 + 57x = 50 + 9x + -9x Combine like terms: 9x + -9x = 0 -45 + 57x = 50 + 0 -45 + 57x = 50 Add '45' to each side of the equation. -45 + 45 + 57x = 50 + 45 Combine like terms: -45 + 45 = 0 0 + 57x = 50 + 45 57x = 50 + 45 Combine like terms: 50 + 45 = 95 57x = 95 Divide each side by '57'. x = 1.666666667 Simplifying x = 1.666666667
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