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Simplifying -1(5x + 2) + -1(7x + -6) = 6(4x + 1) Reorder the terms: -1(2 + 5x) + -1(7x + -6) = 6(4x + 1) (2 * -1 + 5x * -1) + -1(7x + -6) = 6(4x + 1) (-2 + -5x) + -1(7x + -6) = 6(4x + 1) Reorder the terms: -2 + -5x + -1(-6 + 7x) = 6(4x + 1) -2 + -5x + (-6 * -1 + 7x * -1) = 6(4x + 1) -2 + -5x + (6 + -7x) = 6(4x + 1) Reorder the terms: -2 + 6 + -5x + -7x = 6(4x + 1) Combine like terms: -2 + 6 = 4 4 + -5x + -7x = 6(4x + 1) Combine like terms: -5x + -7x = -12x 4 + -12x = 6(4x + 1) Reorder the terms: 4 + -12x = 6(1 + 4x) 4 + -12x = (1 * 6 + 4x * 6) 4 + -12x = (6 + 24x) Solving 4 + -12x = 6 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 4 + -12x + -24x = 6 + 24x + -24x Combine like terms: -12x + -24x = -36x 4 + -36x = 6 + 24x + -24x Combine like terms: 24x + -24x = 0 4 + -36x = 6 + 0 4 + -36x = 6 Add '-4' to each side of the equation. 4 + -4 + -36x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -36x = 6 + -4 -36x = 6 + -4 Combine like terms: 6 + -4 = 2 -36x = 2 Divide each side by '-36'. x = -0.05555555556 Simplifying x = -0.05555555556
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