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Simplifying 30x + -1(-1x + 6) + (5x + 4) = -1(5x + 6) + (-8x + 3x) Reorder the terms: 30x + -1(6 + -1x) + (5x + 4) = -1(5x + 6) + (-8x + 3x) 30x + (6 * -1 + -1x * -1) + (5x + 4) = -1(5x + 6) + (-8x + 3x) 30x + (-6 + 1x) + (5x + 4) = -1(5x + 6) + (-8x + 3x) Reorder the terms: 30x + -6 + 1x + (4 + 5x) = -1(5x + 6) + (-8x + 3x) Remove parenthesis around (4 + 5x) 30x + -6 + 1x + 4 + 5x = -1(5x + 6) + (-8x + 3x) Reorder the terms: -6 + 4 + 30x + 1x + 5x = -1(5x + 6) + (-8x + 3x) Combine like terms: -6 + 4 = -2 -2 + 30x + 1x + 5x = -1(5x + 6) + (-8x + 3x) Combine like terms: 30x + 1x = 31x -2 + 31x + 5x = -1(5x + 6) + (-8x + 3x) Combine like terms: 31x + 5x = 36x -2 + 36x = -1(5x + 6) + (-8x + 3x) Reorder the terms: -2 + 36x = -1(6 + 5x) + (-8x + 3x) -2 + 36x = (6 * -1 + 5x * -1) + (-8x + 3x) -2 + 36x = (-6 + -5x) + (-8x + 3x) Combine like terms: -8x + 3x = -5x -2 + 36x = -6 + -5x + (-5x) -2 + 36x = -6 + -5x + (-5x) Combine like terms: -5x + (-5x) = -10x -2 + 36x = -6 + -10x Solving -2 + 36x = -6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -2 + 36x + 10x = -6 + -10x + 10x Combine like terms: 36x + 10x = 46x -2 + 46x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 -2 + 46x = -6 + 0 -2 + 46x = -6 Add '2' to each side of the equation. -2 + 2 + 46x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 46x = -6 + 2 46x = -6 + 2 Combine like terms: -6 + 2 = -4 46x = -4 Divide each side by '46'. x = -0.08695652174 Simplifying x = -0.08695652174
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