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Simplifying 2 + -1(10x + 7) = 2(1 + -6x) + -9 Reorder the terms: 2 + -1(7 + 10x) = 2(1 + -6x) + -9 2 + (7 * -1 + 10x * -1) = 2(1 + -6x) + -9 2 + (-7 + -10x) = 2(1 + -6x) + -9 Combine like terms: 2 + -7 = -5 -5 + -10x = 2(1 + -6x) + -9 -5 + -10x = (1 * 2 + -6x * 2) + -9 -5 + -10x = (2 + -12x) + -9 Reorder the terms: -5 + -10x = 2 + -9 + -12x Combine like terms: 2 + -9 = -7 -5 + -10x = -7 + -12x Solving -5 + -10x = -7 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + -10x + 12x = -7 + -12x + 12x Combine like terms: -10x + 12x = 2x -5 + 2x = -7 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 2x = -7 + 0 -5 + 2x = -7 Add '5' to each side of the equation. -5 + 5 + 2x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -7 + 5 2x = -7 + 5 Combine like terms: -7 + 5 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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