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Simplifying 2(3x + -1) + -1(4x + -7) = 0 Reorder the terms: 2(-1 + 3x) + -1(4x + -7) = 0 (-1 * 2 + 3x * 2) + -1(4x + -7) = 0 (-2 + 6x) + -1(4x + -7) = 0 Reorder the terms: -2 + 6x + -1(-7 + 4x) = 0 -2 + 6x + (-7 * -1 + 4x * -1) = 0 -2 + 6x + (7 + -4x) = 0 Reorder the terms: -2 + 7 + 6x + -4x = 0 Combine like terms: -2 + 7 = 5 5 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 5 + 2x = 0 Solving 5 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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