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Simplifying 30x + -1(-1x + 6) + (-5x + 1) = -1(5x + 6) + (-8 + 3x) Reorder the terms: 30x + -1(6 + -1x) + (-5x + 1) = -1(5x + 6) + (-8 + 3x) 30x + (6 * -1 + -1x * -1) + (-5x + 1) = -1(5x + 6) + (-8 + 3x) 30x + (-6 + 1x) + (-5x + 1) = -1(5x + 6) + (-8 + 3x) Reorder the terms: 30x + -6 + 1x + (1 + -5x) = -1(5x + 6) + (-8 + 3x) Remove parenthesis around (1 + -5x) 30x + -6 + 1x + 1 + -5x = -1(5x + 6) + (-8 + 3x) Reorder the terms: -6 + 1 + 30x + 1x + -5x = -1(5x + 6) + (-8 + 3x) Combine like terms: -6 + 1 = -5 -5 + 30x + 1x + -5x = -1(5x + 6) + (-8 + 3x) Combine like terms: 30x + 1x = 31x -5 + 31x + -5x = -1(5x + 6) + (-8 + 3x) Combine like terms: 31x + -5x = 26x -5 + 26x = -1(5x + 6) + (-8 + 3x) Reorder the terms: -5 + 26x = -1(6 + 5x) + (-8 + 3x) -5 + 26x = (6 * -1 + 5x * -1) + (-8 + 3x) -5 + 26x = (-6 + -5x) + (-8 + 3x) Remove parenthesis around (-8 + 3x) -5 + 26x = -6 + -5x + -8 + 3x Reorder the terms: -5 + 26x = -6 + -8 + -5x + 3x Combine like terms: -6 + -8 = -14 -5 + 26x = -14 + -5x + 3x Combine like terms: -5x + 3x = -2x -5 + 26x = -14 + -2x Solving -5 + 26x = -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. -5 + 26x + 2x = -14 + -2x + 2x Combine like terms: 26x + 2x = 28x -5 + 28x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 28x = -14 + 0 -5 + 28x = -14 Add '5' to each side of the equation. -5 + 5 + 28x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 28x = -14 + 5 28x = -14 + 5 Combine like terms: -14 + 5 = -9 28x = -9 Divide each side by '28'. x = -0.3214285714 Simplifying x = -0.3214285714
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