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Simplifying -8(2x + 1) = 2(-9x + 8) + -2 Reorder the terms: -8(1 + 2x) = 2(-9x + 8) + -2 (1 * -8 + 2x * -8) = 2(-9x + 8) + -2 (-8 + -16x) = 2(-9x + 8) + -2 Reorder the terms: -8 + -16x = 2(8 + -9x) + -2 -8 + -16x = (8 * 2 + -9x * 2) + -2 -8 + -16x = (16 + -18x) + -2 Reorder the terms: -8 + -16x = 16 + -2 + -18x Combine like terms: 16 + -2 = 14 -8 + -16x = 14 + -18x Solving -8 + -16x = 14 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -8 + -16x + 18x = 14 + -18x + 18x Combine like terms: -16x + 18x = 2x -8 + 2x = 14 + -18x + 18x Combine like terms: -18x + 18x = 0 -8 + 2x = 14 + 0 -8 + 2x = 14 Add '8' to each side of the equation. -8 + 8 + 2x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 14 + 8 2x = 14 + 8 Combine like terms: 14 + 8 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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