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Simplifying -8x + -1(8x + 1) + -2 = -7x + -12 Reorder the terms: -8x + -1(1 + 8x) + -2 = -7x + -12 -8x + (1 * -1 + 8x * -1) + -2 = -7x + -12 -8x + (-1 + -8x) + -2 = -7x + -12 Reorder the terms: -1 + -2 + -8x + -8x = -7x + -12 Combine like terms: -1 + -2 = -3 -3 + -8x + -8x = -7x + -12 Combine like terms: -8x + -8x = -16x -3 + -16x = -7x + -12 Reorder the terms: -3 + -16x = -12 + -7x Solving -3 + -16x = -12 + -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. -3 + -16x + 7x = -12 + -7x + 7x Combine like terms: -16x + 7x = -9x -3 + -9x = -12 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + -9x = -12 + 0 -3 + -9x = -12 Add '3' to each side of the equation. -3 + 3 + -9x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = -12 + 3 -9x = -12 + 3 Combine like terms: -12 + 3 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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