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Simplifying 7 + -6x + 6(x + -1) = 9(x + -7) Reorder the terms: 7 + -6x + 6(-1 + x) = 9(x + -7) 7 + -6x + (-1 * 6 + x * 6) = 9(x + -7) 7 + -6x + (-6 + 6x) = 9(x + -7) Reorder the terms: 7 + -6 + -6x + 6x = 9(x + -7) Combine like terms: 7 + -6 = 1 1 + -6x + 6x = 9(x + -7) Combine like terms: -6x + 6x = 0 1 + 0 = 9(x + -7) 1 = 9(x + -7) Reorder the terms: 1 = 9(-7 + x) 1 = (-7 * 9 + x * 9) 1 = (-63 + 9x) Solving 1 = -63 + 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. 1 + -9x = -63 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -9x = -63 + 0 1 + -9x = -63 Add '-1' to each side of the equation. 1 + -1 + -9x = -63 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = -63 + -1 -9x = -63 + -1 Combine like terms: -63 + -1 = -64 -9x = -64 Divide each side by '-9'. x = 7.111111111 Simplifying x = 7.111111111
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