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Simplifying 30x + -1(-1x + 6) = 5x + 6 Reorder the terms: 30x + -1(6 + -1x) = 5x + 6 30x + (6 * -1 + -1x * -1) = 5x + 6 30x + (-6 + 1x) = 5x + 6 Reorder the terms: -6 + 30x + 1x = 5x + 6 Combine like terms: 30x + 1x = 31x -6 + 31x = 5x + 6 Reorder the terms: -6 + 31x = 6 + 5x Solving -6 + 31x = 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. -6 + 31x + -5x = 6 + 5x + -5x Combine like terms: 31x + -5x = 26x -6 + 26x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 26x = 6 + 0 -6 + 26x = 6 Add '6' to each side of the equation. -6 + 6 + 26x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 26x = 6 + 6 26x = 6 + 6 Combine like terms: 6 + 6 = 12 26x = 12 Divide each side by '26'. x = 0.4615384615 Simplifying x = 0.4615384615
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