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Simplifying 30x + -1(6 + -1x) + (4 + -5x) = -1(5x + 6) 30x + (6 * -1 + -1x * -1) + (4 + -5x) = -1(5x + 6) 30x + (-6 + 1x) + (4 + -5x) = -1(5x + 6) Remove parenthesis around (4 + -5x) 30x + -6 + 1x + 4 + -5x = -1(5x + 6) Reorder the terms: -6 + 4 + 30x + 1x + -5x = -1(5x + 6) Combine like terms: -6 + 4 = -2 -2 + 30x + 1x + -5x = -1(5x + 6) Combine like terms: 30x + 1x = 31x -2 + 31x + -5x = -1(5x + 6) Combine like terms: 31x + -5x = 26x -2 + 26x = -1(5x + 6) Reorder the terms: -2 + 26x = -1(6 + 5x) -2 + 26x = (6 * -1 + 5x * -1) -2 + 26x = (-6 + -5x) Solving -2 + 26x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + 26x + 5x = -6 + -5x + 5x Combine like terms: 26x + 5x = 31x -2 + 31x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 31x = -6 + 0 -2 + 31x = -6 Add '2' to each side of the equation. -2 + 2 + 31x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 31x = -6 + 2 31x = -6 + 2 Combine like terms: -6 + 2 = -4 31x = -4 Divide each side by '31'. x = -0.1290322581 Simplifying x = -0.1290322581
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