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Simplifying 2(6x + -1) + -1(7x + -5) = 9 + -1(3x + 2) Reorder the terms: 2(-1 + 6x) + -1(7x + -5) = 9 + -1(3x + 2) (-1 * 2 + 6x * 2) + -1(7x + -5) = 9 + -1(3x + 2) (-2 + 12x) + -1(7x + -5) = 9 + -1(3x + 2) Reorder the terms: -2 + 12x + -1(-5 + 7x) = 9 + -1(3x + 2) -2 + 12x + (-5 * -1 + 7x * -1) = 9 + -1(3x + 2) -2 + 12x + (5 + -7x) = 9 + -1(3x + 2) Reorder the terms: -2 + 5 + 12x + -7x = 9 + -1(3x + 2) Combine like terms: -2 + 5 = 3 3 + 12x + -7x = 9 + -1(3x + 2) Combine like terms: 12x + -7x = 5x 3 + 5x = 9 + -1(3x + 2) Reorder the terms: 3 + 5x = 9 + -1(2 + 3x) 3 + 5x = 9 + (2 * -1 + 3x * -1) 3 + 5x = 9 + (-2 + -3x) Combine like terms: 9 + -2 = 7 3 + 5x = 7 + -3x Solving 3 + 5x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3 + 5x + 3x = 7 + -3x + 3x Combine like terms: 5x + 3x = 8x 3 + 8x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 8x = 7 + 0 3 + 8x = 7 Add '-3' to each side of the equation. 3 + -3 + 8x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 7 + -3 8x = 7 + -3 Combine like terms: 7 + -3 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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