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Simplifying 30x + -1(-1x + 6) + (-5x + 4) = (5x + 6) + (-8 + -3x) Reorder the terms: 30x + -1(6 + -1x) + (-5x + 4) = (5x + 6) + (-8 + -3x) 30x + (6 * -1 + -1x * -1) + (-5x + 4) = (5x + 6) + (-8 + -3x) 30x + (-6 + 1x) + (-5x + 4) = (5x + 6) + (-8 + -3x) Reorder the terms: 30x + -6 + 1x + (4 + -5x) = (5x + 6) + (-8 + -3x) Remove parenthesis around (4 + -5x) 30x + -6 + 1x + 4 + -5x = (5x + 6) + (-8 + -3x) Reorder the terms: -6 + 4 + 30x + 1x + -5x = (5x + 6) + (-8 + -3x) Combine like terms: -6 + 4 = -2 -2 + 30x + 1x + -5x = (5x + 6) + (-8 + -3x) Combine like terms: 30x + 1x = 31x -2 + 31x + -5x = (5x + 6) + (-8 + -3x) Combine like terms: 31x + -5x = 26x -2 + 26x = (5x + 6) + (-8 + -3x) Reorder the terms: -2 + 26x = (6 + 5x) + (-8 + -3x) Remove parenthesis around (6 + 5x) -2 + 26x = 6 + 5x + (-8 + -3x) Remove parenthesis around (-8 + -3x) -2 + 26x = 6 + 5x + -8 + -3x Reorder the terms: -2 + 26x = 6 + -8 + 5x + -3x Combine like terms: 6 + -8 = -2 -2 + 26x = -2 + 5x + -3x Combine like terms: 5x + -3x = 2x -2 + 26x = -2 + 2x Add '2' to each side of the equation. -2 + 2 + 26x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 0 + 26x = -2 + 2 + 2x 26x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 26x = 0 + 2x 26x = 2x Solving 26x = 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. 26x + -2x = 2x + -2x Combine like terms: 26x + -2x = 24x 24x = 2x + -2x Combine like terms: 2x + -2x = 0 24x = 0 Divide each side by '24'. x = 0 Simplifying x = 0
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