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Simplifying (5 + -3x) + -1(-4x + 6) + (-5x + 4) = -1(5x + 6) + (-8 + 34) Remove parenthesis around (5 + -3x) 5 + -3x + -1(-4x + 6) + (-5x + 4) = -1(5x + 6) + (-8 + 34) Reorder the terms: 5 + -3x + -1(6 + -4x) + (-5x + 4) = -1(5x + 6) + (-8 + 34) 5 + -3x + (6 * -1 + -4x * -1) + (-5x + 4) = -1(5x + 6) + (-8 + 34) 5 + -3x + (-6 + 4x) + (-5x + 4) = -1(5x + 6) + (-8 + 34) Reorder the terms: 5 + -3x + -6 + 4x + (4 + -5x) = -1(5x + 6) + (-8 + 34) Remove parenthesis around (4 + -5x) 5 + -3x + -6 + 4x + 4 + -5x = -1(5x + 6) + (-8 + 34) Reorder the terms: 5 + -6 + 4 + -3x + 4x + -5x = -1(5x + 6) + (-8 + 34) Combine like terms: 5 + -6 = -1 -1 + 4 + -3x + 4x + -5x = -1(5x + 6) + (-8 + 34) Combine like terms: -1 + 4 = 3 3 + -3x + 4x + -5x = -1(5x + 6) + (-8 + 34) Combine like terms: -3x + 4x = 1x 3 + 1x + -5x = -1(5x + 6) + (-8 + 34) Combine like terms: 1x + -5x = -4x 3 + -4x = -1(5x + 6) + (-8 + 34) Reorder the terms: 3 + -4x = -1(6 + 5x) + (-8 + 34) 3 + -4x = (6 * -1 + 5x * -1) + (-8 + 34) 3 + -4x = (-6 + -5x) + (-8 + 34) Combine like terms: -8 + 34 = 26 3 + -4x = -6 + -5x + (26) 3 + -4x = -6 + -5x + 26 Reorder the terms: 3 + -4x = -6 + 26 + -5x Combine like terms: -6 + 26 = 20 3 + -4x = 20 + -5x Solving 3 + -4x = 20 + -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. 3 + -4x + 5x = 20 + -5x + 5x Combine like terms: -4x + 5x = 1x 3 + 1x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 1x = 20 + 0 3 + 1x = 20 Add '-3' to each side of the equation. 3 + -3 + 1x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 20 + -3 1x = 20 + -3 Combine like terms: 20 + -3 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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