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Simplifying -1(2 + 5x) + -8(2 + 8x) = 51 (2 * -1 + 5x * -1) + -8(2 + 8x) = 51 (-2 + -5x) + -8(2 + 8x) = 51 -2 + -5x + (2 * -8 + 8x * -8) = 51 -2 + -5x + (-16 + -64x) = 51 Reorder the terms: -2 + -16 + -5x + -64x = 51 Combine like terms: -2 + -16 = -18 -18 + -5x + -64x = 51 Combine like terms: -5x + -64x = -69x -18 + -69x = 51 Solving -18 + -69x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -69x = 51 + 18 Combine like terms: -18 + 18 = 0 0 + -69x = 51 + 18 -69x = 51 + 18 Combine like terms: 51 + 18 = 69 -69x = 69 Divide each side by '-69'. x = -1 Simplifying x = -1
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