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Simplifying 1 + -6(x + 1) = 9 + x Reorder the terms: 1 + -6(1 + x) = 9 + x 1 + (1 * -6 + x * -6) = 9 + x 1 + (-6 + -6x) = 9 + x Combine like terms: 1 + -6 = -5 -5 + -6x = 9 + x Solving -5 + -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. -5 + -6x + -1x = 9 + x + -1x Combine like terms: -6x + -1x = -7x -5 + -7x = 9 + x + -1x Combine like terms: x + -1x = 0 -5 + -7x = 9 + 0 -5 + -7x = 9 Add '5' to each side of the equation. -5 + 5 + -7x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 9 + 5 -7x = 9 + 5 Combine like terms: 9 + 5 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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