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Simplifying 7(1 + -9x) = 3 + -1(9x + 5) (1 * 7 + -9x * 7) = 3 + -1(9x + 5) (7 + -63x) = 3 + -1(9x + 5) Reorder the terms: 7 + -63x = 3 + -1(5 + 9x) 7 + -63x = 3 + (5 * -1 + 9x * -1) 7 + -63x = 3 + (-5 + -9x) Combine like terms: 3 + -5 = -2 7 + -63x = -2 + -9x Solving 7 + -63x = -2 + -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. 7 + -63x + 9x = -2 + -9x + 9x Combine like terms: -63x + 9x = -54x 7 + -54x = -2 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + -54x = -2 + 0 7 + -54x = -2 Add '-7' to each side of the equation. 7 + -7 + -54x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -54x = -2 + -7 -54x = -2 + -7 Combine like terms: -2 + -7 = -9 -54x = -9 Divide each side by '-54'. x = 0.1666666667 Simplifying x = 0.1666666667
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