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Simplifying (3 + -1x) + (-20) = 10 + 3(4x + 2) Remove parenthesis around (3 + -1x) 3 + -1x + (-20) = 10 + 3(4x + 2) 3 + -1x + -20 = 10 + 3(4x + 2) Reorder the terms: 3 + -20 + -1x = 10 + 3(4x + 2) Combine like terms: 3 + -20 = -17 -17 + -1x = 10 + 3(4x + 2) Reorder the terms: -17 + -1x = 10 + 3(2 + 4x) -17 + -1x = 10 + (2 * 3 + 4x * 3) -17 + -1x = 10 + (6 + 12x) Combine like terms: 10 + 6 = 16 -17 + -1x = 16 + 12x Solving -17 + -1x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -17 + -1x + -12x = 16 + 12x + -12x Combine like terms: -1x + -12x = -13x -17 + -13x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 -17 + -13x = 16 + 0 -17 + -13x = 16 Add '17' to each side of the equation. -17 + 17 + -13x = 16 + 17 Combine like terms: -17 + 17 = 0 0 + -13x = 16 + 17 -13x = 16 + 17 Combine like terms: 16 + 17 = 33 -13x = 33 Divide each side by '-13'. x = -2.538461538 Simplifying x = -2.538461538
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