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Simplifying -7x + -1(5x + 3) = 7(2 + -1x) + -6 Reorder the terms: -7x + -1(3 + 5x) = 7(2 + -1x) + -6 -7x + (3 * -1 + 5x * -1) = 7(2 + -1x) + -6 -7x + (-3 + -5x) = 7(2 + -1x) + -6 Reorder the terms: -3 + -7x + -5x = 7(2 + -1x) + -6 Combine like terms: -7x + -5x = -12x -3 + -12x = 7(2 + -1x) + -6 -3 + -12x = (2 * 7 + -1x * 7) + -6 -3 + -12x = (14 + -7x) + -6 Reorder the terms: -3 + -12x = 14 + -6 + -7x Combine like terms: 14 + -6 = 8 -3 + -12x = 8 + -7x Solving -3 + -12x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3 + -12x + 7x = 8 + -7x + 7x Combine like terms: -12x + 7x = -5x -3 + -5x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + -5x = 8 + 0 -3 + -5x = 8 Add '3' to each side of the equation. -3 + 3 + -5x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 8 + 3 -5x = 8 + 3 Combine like terms: 8 + 3 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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