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Simplifying 30x + -1(-1x + 6) + (5x + 4) = -1(5x + 6) + (-8 + x) Reorder the terms: 30x + -1(6 + -1x) + (5x + 4) = -1(5x + 6) + (-8 + x) 30x + (6 * -1 + -1x * -1) + (5x + 4) = -1(5x + 6) + (-8 + x) 30x + (-6 + 1x) + (5x + 4) = -1(5x + 6) + (-8 + x) Reorder the terms: 30x + -6 + 1x + (4 + 5x) = -1(5x + 6) + (-8 + x) Remove parenthesis around (4 + 5x) 30x + -6 + 1x + 4 + 5x = -1(5x + 6) + (-8 + x) Reorder the terms: -6 + 4 + 30x + 1x + 5x = -1(5x + 6) + (-8 + x) Combine like terms: -6 + 4 = -2 -2 + 30x + 1x + 5x = -1(5x + 6) + (-8 + x) Combine like terms: 30x + 1x = 31x -2 + 31x + 5x = -1(5x + 6) + (-8 + x) Combine like terms: 31x + 5x = 36x -2 + 36x = -1(5x + 6) + (-8 + x) Reorder the terms: -2 + 36x = -1(6 + 5x) + (-8 + x) -2 + 36x = (6 * -1 + 5x * -1) + (-8 + x) -2 + 36x = (-6 + -5x) + (-8 + x) Remove parenthesis around (-8 + x) -2 + 36x = -6 + -5x + -8 + x Reorder the terms: -2 + 36x = -6 + -8 + -5x + x Combine like terms: -6 + -8 = -14 -2 + 36x = -14 + -5x + x Combine like terms: -5x + x = -4x -2 + 36x = -14 + -4x Solving -2 + 36x = -14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 36x + 4x = -14 + -4x + 4x Combine like terms: 36x + 4x = 40x -2 + 40x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 40x = -14 + 0 -2 + 40x = -14 Add '2' to each side of the equation. -2 + 2 + 40x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 40x = -14 + 2 40x = -14 + 2 Combine like terms: -14 + 2 = -12 40x = -12 Divide each side by '40'. x = -0.3 Simplifying x = -0.3
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