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Simplifying -2 = 8(x + 7) + -1(7x + -9) Reorder the terms: -2 = 8(7 + x) + -1(7x + -9) -2 = (7 * 8 + x * 8) + -1(7x + -9) -2 = (56 + 8x) + -1(7x + -9) Reorder the terms: -2 = 56 + 8x + -1(-9 + 7x) -2 = 56 + 8x + (-9 * -1 + 7x * -1) -2 = 56 + 8x + (9 + -7x) Reorder the terms: -2 = 56 + 9 + 8x + -7x Combine like terms: 56 + 9 = 65 -2 = 65 + 8x + -7x Combine like terms: 8x + -7x = 1x -2 = 65 + 1x Solving -2 = 65 + 1x 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 + -1x = 65 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + -1x = 65 + 0 -2 + -1x = 65 Add '2' to each side of the equation. -2 + 2 + -1x = 65 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 65 + 2 -1x = 65 + 2 Combine like terms: 65 + 2 = 67 -1x = 67 Divide each side by '-1'. x = -67 Simplifying x = -67
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