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Simplifying 8(x + 9) + -2x = -1(7x + -7) Reorder the terms: 8(9 + x) + -2x = -1(7x + -7) (9 * 8 + x * 8) + -2x = -1(7x + -7) (72 + 8x) + -2x = -1(7x + -7) Combine like terms: 8x + -2x = 6x 72 + 6x = -1(7x + -7) Reorder the terms: 72 + 6x = -1(-7 + 7x) 72 + 6x = (-7 * -1 + 7x * -1) 72 + 6x = (7 + -7x) Solving 72 + 6x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 72 + 6x + 7x = 7 + -7x + 7x Combine like terms: 6x + 7x = 13x 72 + 13x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 72 + 13x = 7 + 0 72 + 13x = 7 Add '-72' to each side of the equation. 72 + -72 + 13x = 7 + -72 Combine like terms: 72 + -72 = 0 0 + 13x = 7 + -72 13x = 7 + -72 Combine like terms: 7 + -72 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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