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Simplifying (3x + 1) + (x + -20) = (5x + -59) Reorder the terms: (1 + 3x) + (x + -20) = (5x + -59) Remove parenthesis around (1 + 3x) 1 + 3x + (x + -20) = (5x + -59) Reorder the terms: 1 + 3x + (-20 + x) = (5x + -59) Remove parenthesis around (-20 + x) 1 + 3x + -20 + x = (5x + -59) Reorder the terms: 1 + -20 + 3x + x = (5x + -59) Combine like terms: 1 + -20 = -19 -19 + 3x + x = (5x + -59) Combine like terms: 3x + x = 4x -19 + 4x = (5x + -59) Reorder the terms: -19 + 4x = (-59 + 5x) Remove parenthesis around (-59 + 5x) -19 + 4x = -59 + 5x Solving -19 + 4x = -59 + 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. -19 + 4x + -5x = -59 + 5x + -5x Combine like terms: 4x + -5x = -1x -19 + -1x = -59 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + -1x = -59 + 0 -19 + -1x = -59 Add '19' to each side of the equation. -19 + 19 + -1x = -59 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = -59 + 19 -1x = -59 + 19 Combine like terms: -59 + 19 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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