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Simplifying -5(7 + 2x) + -6x = 51 (7 * -5 + 2x * -5) + -6x = 51 (-35 + -10x) + -6x = 51 Combine like terms: -10x + -6x = -16x -35 + -16x = 51 Solving -35 + -16x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -16x = 51 + 35 Combine like terms: -35 + 35 = 0 0 + -16x = 51 + 35 -16x = 51 + 35 Combine like terms: 51 + 35 = 86 -16x = 86 Divide each side by '-16'. x = -5.375 Simplifying x = -5.375
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