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Simplifying 30x + -1(x + 6) + (-5x + 4) = -1(5x + 6) + (-8 + 3x) Reorder the terms: 30x + -1(6 + x) + (-5x + 4) = -1(5x + 6) + (-8 + 3x) 30x + (6 * -1 + x * -1) + (-5x + 4) = -1(5x + 6) + (-8 + 3x) 30x + (-6 + -1x) + (-5x + 4) = -1(5x + 6) + (-8 + 3x) Reorder the terms: 30x + -6 + -1x + (4 + -5x) = -1(5x + 6) + (-8 + 3x) Remove parenthesis around (4 + -5x) 30x + -6 + -1x + 4 + -5x = -1(5x + 6) + (-8 + 3x) Reorder the terms: -6 + 4 + 30x + -1x + -5x = -1(5x + 6) + (-8 + 3x) Combine like terms: -6 + 4 = -2 -2 + 30x + -1x + -5x = -1(5x + 6) + (-8 + 3x) Combine like terms: 30x + -1x = 29x -2 + 29x + -5x = -1(5x + 6) + (-8 + 3x) Combine like terms: 29x + -5x = 24x -2 + 24x = -1(5x + 6) + (-8 + 3x) Reorder the terms: -2 + 24x = -1(6 + 5x) + (-8 + 3x) -2 + 24x = (6 * -1 + 5x * -1) + (-8 + 3x) -2 + 24x = (-6 + -5x) + (-8 + 3x) Remove parenthesis around (-8 + 3x) -2 + 24x = -6 + -5x + -8 + 3x Reorder the terms: -2 + 24x = -6 + -8 + -5x + 3x Combine like terms: -6 + -8 = -14 -2 + 24x = -14 + -5x + 3x Combine like terms: -5x + 3x = -2x -2 + 24x = -14 + -2x Solving -2 + 24x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 24x + 2x = -14 + -2x + 2x Combine like terms: 24x + 2x = 26x -2 + 26x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 26x = -14 + 0 -2 + 26x = -14 Add '2' to each side of the equation. -2 + 2 + 26x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 26x = -14 + 2 26x = -14 + 2 Combine like terms: -14 + 2 = -12 26x = -12 Divide each side by '26'. x = -0.4615384615 Simplifying x = -0.4615384615
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