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Simplifying 3(5 + -4x) + -1(3 + -7x) = -1(2 + 9x) (5 * 3 + -4x * 3) + -1(3 + -7x) = -1(2 + 9x) (15 + -12x) + -1(3 + -7x) = -1(2 + 9x) 15 + -12x + (3 * -1 + -7x * -1) = -1(2 + 9x) 15 + -12x + (-3 + 7x) = -1(2 + 9x) Reorder the terms: 15 + -3 + -12x + 7x = -1(2 + 9x) Combine like terms: 15 + -3 = 12 12 + -12x + 7x = -1(2 + 9x) Combine like terms: -12x + 7x = -5x 12 + -5x = -1(2 + 9x) 12 + -5x = (2 * -1 + 9x * -1) 12 + -5x = (-2 + -9x) Solving 12 + -5x = -2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + -5x + 9x = -2 + -9x + 9x Combine like terms: -5x + 9x = 4x 12 + 4x = -2 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 4x = -2 + 0 12 + 4x = -2 Add '-12' to each side of the equation. 12 + -12 + 4x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -2 + -12 4x = -2 + -12 Combine like terms: -2 + -12 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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