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Simplifying 30x + -1(-1x + 6) + (-5x + 4) = -5(5x + 6) + (-8 + 3x) Reorder the terms: 30x + -1(6 + -1x) + (-5x + 4) = -5(5x + 6) + (-8 + 3x) 30x + (6 * -1 + -1x * -1) + (-5x + 4) = -5(5x + 6) + (-8 + 3x) 30x + (-6 + 1x) + (-5x + 4) = -5(5x + 6) + (-8 + 3x) Reorder the terms: 30x + -6 + 1x + (4 + -5x) = -5(5x + 6) + (-8 + 3x) Remove parenthesis around (4 + -5x) 30x + -6 + 1x + 4 + -5x = -5(5x + 6) + (-8 + 3x) Reorder the terms: -6 + 4 + 30x + 1x + -5x = -5(5x + 6) + (-8 + 3x) Combine like terms: -6 + 4 = -2 -2 + 30x + 1x + -5x = -5(5x + 6) + (-8 + 3x) Combine like terms: 30x + 1x = 31x -2 + 31x + -5x = -5(5x + 6) + (-8 + 3x) Combine like terms: 31x + -5x = 26x -2 + 26x = -5(5x + 6) + (-8 + 3x) Reorder the terms: -2 + 26x = -5(6 + 5x) + (-8 + 3x) -2 + 26x = (6 * -5 + 5x * -5) + (-8 + 3x) -2 + 26x = (-30 + -25x) + (-8 + 3x) Remove parenthesis around (-8 + 3x) -2 + 26x = -30 + -25x + -8 + 3x Reorder the terms: -2 + 26x = -30 + -8 + -25x + 3x Combine like terms: -30 + -8 = -38 -2 + 26x = -38 + -25x + 3x Combine like terms: -25x + 3x = -22x -2 + 26x = -38 + -22x Solving -2 + 26x = -38 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -2 + 26x + 22x = -38 + -22x + 22x Combine like terms: 26x + 22x = 48x -2 + 48x = -38 + -22x + 22x Combine like terms: -22x + 22x = 0 -2 + 48x = -38 + 0 -2 + 48x = -38 Add '2' to each side of the equation. -2 + 2 + 48x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 48x = -38 + 2 48x = -38 + 2 Combine like terms: -38 + 2 = -36 48x = -36 Divide each side by '48'. x = -0.75 Simplifying x = -0.75
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