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Simplifying -5(2x + -1) + -1(-11x + 6) = 7 Reorder the terms: -5(-1 + 2x) + -1(-11x + 6) = 7 (-1 * -5 + 2x * -5) + -1(-11x + 6) = 7 (5 + -10x) + -1(-11x + 6) = 7 Reorder the terms: 5 + -10x + -1(6 + -11x) = 7 5 + -10x + (6 * -1 + -11x * -1) = 7 5 + -10x + (-6 + 11x) = 7 Reorder the terms: 5 + -6 + -10x + 11x = 7 Combine like terms: 5 + -6 = -1 -1 + -10x + 11x = 7 Combine like terms: -10x + 11x = 1x -1 + 1x = 7 Solving -1 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 7 + 1 1x = 7 + 1 Combine like terms: 7 + 1 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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