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Simplifying 8 + -6(x + 1) = 9 + x Reorder the terms: 8 + -6(1 + x) = 9 + x 8 + (1 * -6 + x * -6) = 9 + x 8 + (-6 + -6x) = 9 + x Combine like terms: 8 + -6 = 2 2 + -6x = 9 + x Solving 2 + -6x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + -6x + -1x = 9 + x + -1x Combine like terms: -6x + -1x = -7x 2 + -7x = 9 + x + -1x Combine like terms: x + -1x = 0 2 + -7x = 9 + 0 2 + -7x = 9 Add '-2' to each side of the equation. 2 + -2 + -7x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 9 + -2 -7x = 9 + -2 Combine like terms: 9 + -2 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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