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Simplifying (-7x + -8) + 9 = -6(x + 1) Reorder the terms: (-8 + -7x) + 9 = -6(x + 1) Remove parenthesis around (-8 + -7x) -8 + -7x + 9 = -6(x + 1) Reorder the terms: -8 + 9 + -7x = -6(x + 1) Combine like terms: -8 + 9 = 1 1 + -7x = -6(x + 1) Reorder the terms: 1 + -7x = -6(1 + x) 1 + -7x = (1 * -6 + x * -6) 1 + -7x = (-6 + -6x) Solving 1 + -7x = -6 + -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. 1 + -7x + 6x = -6 + -6x + 6x Combine like terms: -7x + 6x = -1x 1 + -1x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + -1x = -6 + 0 1 + -1x = -6 Add '-1' to each side of the equation. 1 + -1 + -1x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -6 + -1 -1x = -6 + -1 Combine like terms: -6 + -1 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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