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Simplifying 9 + -1(x + 7) = 6x + -5 Reorder the terms: 9 + -1(7 + x) = 6x + -5 9 + (7 * -1 + x * -1) = 6x + -5 9 + (-7 + -1x) = 6x + -5 Combine like terms: 9 + -7 = 2 2 + -1x = 6x + -5 Reorder the terms: 2 + -1x = -5 + 6x Solving 2 + -1x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -1x + -6x = -5 + 6x + -6x Combine like terms: -1x + -6x = -7x 2 + -7x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -7x = -5 + 0 2 + -7x = -5 Add '-2' to each side of the equation. 2 + -2 + -7x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -5 + -2 -7x = -5 + -2 Combine like terms: -5 + -2 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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