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Simplifying 7(x + -9) + -1(3x + 1) = 9 Reorder the terms: 7(-9 + x) + -1(3x + 1) = 9 (-9 * 7 + x * 7) + -1(3x + 1) = 9 (-63 + 7x) + -1(3x + 1) = 9 Reorder the terms: -63 + 7x + -1(1 + 3x) = 9 -63 + 7x + (1 * -1 + 3x * -1) = 9 -63 + 7x + (-1 + -3x) = 9 Reorder the terms: -63 + -1 + 7x + -3x = 9 Combine like terms: -63 + -1 = -64 -64 + 7x + -3x = 9 Combine like terms: 7x + -3x = 4x -64 + 4x = 9 Solving -64 + 4x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 4x = 9 + 64 Combine like terms: -64 + 64 = 0 0 + 4x = 9 + 64 4x = 9 + 64 Combine like terms: 9 + 64 = 73 4x = 73 Divide each side by '4'. x = 18.25 Simplifying x = 18.25
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